1. O. González-Gaxiola and R. Quezada-Batalla, "El Proceso de Ornstein-Uhlenbeck, el Oscilador Armónico Cuántico y las Fórmula de Feynman-Kac", Miscelánea Matemática, 40, 53-67, (2004).
2. O. González-Gaxiola and R. Quezada.Batalla; "On the Generator of the Solution of a Quantum Stochastic Differential Equation." Stochastic Model; Vol. 22, pp 561-572, (2006).
3. O. González-Gaxiola and R. Quezada-Batalla; “On The Hamiltonian of a Class of Quantum Stochastic Processes.”; Mathematical Notes; Vol. 81, No. 6, pp. 734- 752; (2007).
4. O. González-Gaxiola; “Euler y las Compuertas Lógicas Cuánticas .”; Carta Informatica; Vol. 2, No. 12, pp. 3-6; (2008).
5. O. González-Gaxiola; “A Spectral Theorem on a Certian Hilbert Space.”; Far East Journal of Math. Sciences. Vol. 31, No. 2, pp. 257-265, (2008).
6. O. González-Gaxiola; “A Note on the Derivation of Frechet and Gateaux” Applied Math. Sciences Vol. 3, No. 19; 941-947, (2009).
7. J. M. Romero, R. Bernal-Jaquez and O. González-Gaxiola; “Is it Possible to Relate MOND with Horava Gravity?” Modern Physics Letters A Vol. 25, No. 29; 2501-2506, (2010).
8. O. González-Gaxiola and S. Hernández Linares; “An Alternative Method to Solve Exact Differential Equations” International Mathematical Forum Vol. 5, No. 54; 2689-2697, (2010).
9. J. M. Romero, J. A. Santiago, O. González-Gaxiola and A. Zamora; “Electrodynamics a la Horava” Modern Physics Letters A Vol. 25, No. 40; 3381-3393, (2010).
10. J. M. Romero, O. González-Gaxiola, J. Ruíz de Chávez and R. Bernal-Jaquez; “The Black-Scholes Equation and Certain Quantum Hamiltonians” Int. Journal of Pure and Applied Mathematics Vol. 67, No. 2; 165-173, (2011).
11. O. González-Gaxiola, J. A. Santiago; “The Black-Scholes Operator as the Generator of a C0-Semigroup and Applications” Int. J. of Pure and Applied Mathematics; Vol. 76, No. 2, 191-200; (2012).
12. J. M. Romero, J. A. Santiago, O. González-Gaxiola; “Principle action for particles faster than light ” Modern Physics Letters A; Vol 27, No. 11; 1250060; (2012).
13. O. González-Gaxiola, José A. Santigo; “An α-Mellin Transform and Some of its Applications” Int. J. Contemp. Math. Sciences; Vol. 7, No. 48, 2353-2361; (2012).
14. Juan M. Romero, O. González-Gaxiola, G. Chacón-Acosta; “Exact Solutions to Fick-Jacobs Equation” Int. J. of Pure and Applied Mathematics; Vol. 82, No. 1, 41-52; (2013).
15. O. González-Gaxiola; “The Black-Scholes Equation and its Relation with Semi- groups of Operators” Applied Mathematical Sciences; Vol. 7, No. 13, 633-640; (2013).
16. J. A. Santiago, G. Chacón-Acosta, O. González-Gaxiola; “Elastic Curves and Surfaces Under Long-Range Forces: A Geometric Approach” Int. J. of Modern Physics B; Vol. 27, No. 2, 1350043; (2013).
17. O. González-Gaxiola, Pedro Pablo González-Pérez; “Applying the Fock spaces- based tools to the modeling of RBF neural networks: a quantum RBF neural net- work approach” J. of Appl. Math. and Bioinformatics; Vol. 3, No. 3, 89-102; (2013).
18 O. González-Gaxiola; J. A. Santiago, G. Chacón-Acosta; “A Solvable QSDE Through Semigroups of Operators and Some Physical Applications” Int. Journal of Pure and Applied Mathematics; Vol. 85, No. 4, 669-678; (2013).
19 Juan M. Romero, O. González-Gaxiola, R. Bernal-Jaquez; “Non-Hermitian Hydrogen atom” J. Math. Chem; DOI: 10.1007/s10910-013-0194-z; (2013).
20. O. González-Gaxiola, José A. Santigo; “Electrodynamics a la Horava through Semigroups of Operators (case z = 2 )” Applied Mathematical Sciences; Vol. 8, No. 26, 1135-1143; (2014).
21 O. González-Gaxiola, Pedro Pablo González-Pérez; “Nonlinear Black-Scholes Equation Through Radial Basis Functions” J. of Applied Math. and Bioinformatics; Vol. 4, No. 3, 75-86; (2014).
22. O. González-Gaxiola, J. A. Santigo; “Symmetries, Mellin Transform and the Black Scholes Equation (A Nonlinear Case)” Int. J. Contemp. Math. Sciences; Vol. 9, No. 10, 469-478; (2014).
23. O. González-Gaxiola; “La teoría de operadores en el mercado de derivados” Revista Iberoamericana de Ciencias; Vol. 1, No. 5, 69-75; (2014).
24. J. A. Santiago, G. Chacón-Acosta, O. González-Gaxiola; “Effective potentials in geodesic curves on surfaces” J. Phys.: Conf. Ser. 545; (2014).
25. O. González-Gaxiola, José A. Santigo; “The Frank’s Kinetic Model Through The Adomian Decomposition Method” Int. J. of Applied. Math.; Vol. 28, No. 2, 151-158; (2015).
26. O. González-Gaxiola, J. Ruíz de Chávez and J. A. Santiago. “A Nonlinear Option Pricing Model Through the Adomian Decomposition Method”; 1-15, Int. J. Appl. Comput. Math- Springer, (2015).
27. O. González-Gaxiola, R. Bernal-Jaquez. “Applying Adomian Decomposition Method to Solve Burgess Equation with a Non-linear Source",1-12, Int. J. Appl. Comput. Math- Springer, (2015).
28. O. González-Gaxiola, J. Ruiz de Chávez. "Solving the Ivancevic Option Pricing Model Using the Elsaki-Adomian Decomposition Method" International Journal of Applied Mathematics, Vol. 28(5), 515-525 (2015).
29. O. González-Gaxiola, J. Ruiz de Chávez, R. Bernal-Jaquez. "Solution of the nonlinear Kompaneets equation through the Laplace-Adomian Decomposition Method" Int. Journal of Applied and Computational Mathematics, Vol. 1(5), 1-16 (2016).
30. O. González-Gaxiola. "The Black-Scholes Equation with Variable Volatility Through the Adomian Decomposition Method" Communications in Mathematical Finance, Vol. 5 (1), 33-42 (2016).
31. O. González-Gaxiola, J. A. Santiago and J. Ruiz de Chávez. "Solution for the Nonlinear Relativistic Harmonic Oscillator via Laplace-Adomian Decomposition Method" Int. J. Appl. Comput. Math. (2016) DOI 10.1007/s40819-016-0267-3
32. O. González-Gaxiola and J. Ruiz de Chávez. "Periodic Solution fot the Allen-Cahn Equation Through the Adomian Decomposition Method" Int. Electronic J. of Pure and Applied Math. Vol 10 (2), 127-138 (2016) DOI 10.12732/iejpam.v10i2.3
33. J. A. Santiago, G. Chacón-Acosta, O. González-Gaxiola, G. Torres-Vargas; “Geometry of Classical Particles on Curved Surfaces” Rev. Mexicana de Física; Vol. 63, 26-31; (2017).
34. O. González-Gaxiola. "The Laplace-Adomian Decomposition Method Applied to the Kundu-Eckhaus Equation" Int. J. Math. and its Applications Vol 5 (1), 1-12 (2017).
35. O. González-Gaxiola, Pedro Franco and R. Bernal-Jaquez. "Solution for the Nonlinear Schrodinger Equation with Defocusing Strength Nonlinearities Through the Laplace-Adomian Decomposition Method" Int. J. Appl. Comput. Math. (2017) DOI 10.1007/s40819-017-0325-5
36. S. O. Edeki, O. O. Ugbebor, O. González-Gaxiola. "Analytical Solutions of the Ivancevic Option Pricing Model With a Nonzero Adaptive Market Potential" Int. J. of Pure and Applied Math. 115 (1), 187-198; (2017) DOI: 10.12732/ijpam.v115i1.14
37. O. González-Gaxiola, S. O. Edeki, O. O. Ugbebor and J. Ruiz de Chávez. " Solving the Ivancevic Pricing Model Using the He's Frequency-Aplitude Formulation" European. J. of Pure and Applied Math. 10 (4), 631-637; (2017)
38. O. González-Gaxiola. " Periodic Solution for Strongly Nonlinear Oscillators by He’s New Amplitude–Frequency Relationship" Int. J. Appl. Comput. Math. (2017) DOI 10.1007/s40819-017-0414-5
39. G. Barrientos, G. Chacón-Acosta, O. González-Gaxiola, J. Santiago García "Forces on membranes with in-plane order" Journal of Phys Comm. (2017) DOI: 10.1088/2399-6528/aa90cd
40. O. González-Gaxiola, G. Chacón-Acosta and J. A. Santiago. " Nonlinear Oscillations of a Point Charge in the Electric Field of Charged Ring Using a Particular He’s Frequency-Amplitude Formulation" Int. J. Appl. Comput. Math. (2018) DOI: 10.1007/s40819-017-0479-1
41. O. González-Gaxiola, J. Ruiz de Chávez and S. O. Edeki "Iterative Method for Constructing Analytical Solution to the Harry-Dym Initial Value Problem" Int. Journal of Applied Math. 31 (4), 627-640; (2018)
42. O. González-Gaxiola, Anjan Biswas "Akhmediev breathers, Peregrine solitons and Kuznetsov-Ma solitons in optical fibers and PCF by Laplace-Adomian decomposition method" Optik. 172, 930-939; (2018). https://doi.org/10.1016/j.ijleo.2018.07.102
43. O. González-Gaxiola, Anjan Biswas " W‑shaped optical solitons of Chen-Lee-Liu equation by Laplace-Adomian decomposition method" Optical and Quantum Electronics. 50, 314; (2018). https://doi.org/10.1007/s11082018-1583-0
44. O. González-Gaxiola, Anjan Biswas "Optical solitons with Radhakrishnan-Kundu-Lakshmana equation by Laplace-Adomian method" Optik. 179,434-442 (2019). https://doi.org/10.1016/j.ijleo.2018.10.173
45. S. O. Edeki, G. O. Akinlabi, O. González-Gaxiola. "Adomian Decomposition Method for Analytical Solution of a Continuous Arithmetic Asian Option Pricing Model" Telecommunication Computing Electronics and Control 17 (2), 187-198; (2019) DOI: 10.12928/telkomnika.v17i2.9179
46. O. González-Gaxiola, G. Chacón-Acosta and A. León-Ramírez. " Approximate analytical solution of the nonlinear Bethe equation" Int. J. Appl. Comput. Math. (2019) 5: 25 DOI: 10.1007/s40819-019-0616-0
47. O. González-Gaxiola, Anjan Biswas and Milivoj R. Belic " Optical soliton perturbation of Fokas-Lenells equation by the Laplace-Adomian decomposition algorithm" Journal of the European Optical Society. 15(1), 13; (2019). https://doi.org/10.1186/s41476-019-0111-6
48. O. González-Gaxiola "Numerical solution for Triki-Biswas equation by Adomian decomposition method" Optik. 194, 163014; (2019). https://doi.org/10.1016/j.ijleo.2019.163014
49. O. González-Gaxiola "Bright and dark optical solitons of the Schäfer–Wayne short-pulse equation by Laplace substitution method" Optik. 200, 163414; (2020). https://doi.org/10.1016/j.ijleo.2019.163414
50. O. González-Gaxiola, Anjan Biswas, Fouad Mallawi and Milivoj R. Belic " Cubic-quartic bright optical solitons with improved Adomian decomposition method" Journal of Advanced Research. 15(1), 13; (2020). https://doi.org/10.1016/j.jare.2019.10.004
51. Y. Yildirim, Anjan Biswas, A. J. Mohamad Jawad, P. Guggilla, O. González-Gaxiola, M. Ekici and Milivoj R. Belic " Exhibit of Highly Dispersive Optical Solutions in Birefringent Fibers With four forms of nonlinear Refractive Index by Exp-Function Expansion" Optik. 208, 164471; (2020). https://doi.org/10.1016/j.ijleo.2020.164471
52. Y. Yildirim, Anjan Biswas, M. Ekici, H. Triki, O. González-Gaxiola, M. A.K. Alzahrani and Milivoj R. Belic " Optical solitons in birefringent fibers for Radhakrishnan–Kundu–Lakshmanan equation with five prolific integration norms" Optik. 208, 164550; (2020). https://doi.org/10.1016/j.ijleo.2020.164550
53. O. González-Gaxiola, Anjan Biswas and A. K. Alzahrani "Gaussons: optical solitons with log-law nonlinearity by Laplace-Adomian decomposition method" Open Physics 18: 182-188 (2020)
54. O. González-Gaxiola, Anjan Biswas and A. K. Alzahrani, M. R. Belic "Optical solitons perturbation with spatio-temporal dispersion having Kerr law nonlinearity by the variational iteration method" Revista Mex. de Física, 66(4), 404-410 (2020)
55. ME Elsayed, Reham MA Shohib, Anjan Biswas, O González-Gaxiola, Y Yıldırım, A K Alzahrani, M R Belic "Optical solitons in fiber bragg gratings with generalized anti-cubic nonlinearity by extended auxiliary equation" Chinese Journal of Physics. 65, 613-628 (2020). https://doi.org/10.1016/j.cjph.2020.03.017
56. O. González-Gaxiola, Anjan Biswas and A. S. Alshomrani, "Highly dispersive optical solitons having Kerr law of refractive index with Laplace-Adomian decomposition" Revista Mex. de Física, 66(3), 291-296 (2020)
57. E. M. E. Zayed, R. M.A. Shohib, A. Biswas, O. González-Gaxiola; Y. Yildirim; A. K. Alzahrani; Milivoj R. Belic ``Optical solitons in fiber bragg gratings with generalized anti-cubic nonlinearity by extended auxiliary equation"; Chinese J. of Phys. 65, 613-628; (2020) doi: 10.1016/j.cjph.2020.03.017
58. O. González-Gaxiola, A. Biswas; M. Asma; A. K. Alzahrani; "Optical Dromions and Domain Walls with the Kundu-Mukherjee-Naskar Equation by the Laplace -Adomian Decomposition Scheme"; Regular and Chaotic Dyn. 5(4), 338-348; (2020). doi: 10.1134/S1560354720040036
59. Y. Yildirim, Anjan Biswas, M. Ekici, O. González-Gaxiola, S. Khan, H. Triki; L. Moraru; A. K. Alzahrani; Milivoj R. Belic ``Optical solitons with Kudryashov's model by a range of integration norms"; Chinese J. of Phys. 66, 660-672; (2020) doi: 10.1016/j.cjph.2020.06.005
60. O. González-Gaxiola, A. Biswas; M. Ekici; S. Khan; ``Highly dispersive optical solitons with quadratic–-cubic law of refractive index by the variational iteration method"; J. of Optics 1-8 (2020). doi: 10.1007/s12596-020-00671-x.
61. O. González-Gaxiola, A. Biswas; M. Ekici, Ali S. Alshomrani; ``Optical solitons with Sasa–Satsuma equation by Laplace–Adomian decomposition algorithm"; Optik 229: 166262 (2021) doi: 10.1016/j.ijleo.2021.166262
62. O. González-Gaxiola, A. Biswas; M. Asma, A. K. Alzahrani; ``Highly dispersive optical solitons with non-local law of refractive index by Laplace-Adomian decomposition"; Opt Quant Electron 53: 55 (2021) doi: 10.1007/s11082-020-02679-w
63. M. Asma, A. Biswas, M. Ekici, O. González-Gaxiola, A. K. Alzahrani; Milivoj R. Belic, ``Optical solitons in birefringent fibers with quadratic‑cubic nonlinearity by traveling waves and Adomian decomposition"; Opt Quant Electron 53: 138 (2021) doi: 10.1007/s11082-021-02778-2
64. O. González-Gaxiola, S. Hernández-Linares; ``An Efficient Iterative Method for Solving the Elliptical Kepler’s Equation"; Int. J. Appl. Comput. Math. 7: 42 (2021) doi: https://doi.org/10.1007/s40819-021-00984-w
65. O. González-Gaxiola, A. Biswas; A. K. Alzahrani; Milivoj R. Belic; ``Highly dispersive optical solitons with polynomial law of refractive index by Laplace-Adomian decomposition"; J. of Computational Electronics (2021). https://doi.org/10.1007/s10825-021-01710-x
66. A. Biswas, M. Ekici, G. Padmaja, S. Khan, O. González-Gaxiola, A. K. Alzahrani; Milivoj R. Belic, ``Cubic-quartic optical soliton perturbation with complex Ginzburg-Landau equation"; Journal of Applied Science and Engineering 24(6), 937-1004, (2021)
67. O. González-Gaxiola; `El método de descomposición de Adomian para el cálculo de integrales gaussinas: La ecuación de calor y de Black-Scholes"; Rev. Metropolitana de Matemáticas, 12(1), 47-53 (2021). www.doi.org/10.24275/uami/dcbi/mix/v12n1/oggaxiola
68. O. González-Gaxiola, A. Biswas; Q. Zhou, H. M. Alshehri; ``Numerical study of highly dispersive optical solitons with differential group delay having quadratic-cubic law of refractive index by Laplace–Adomian decomposition"; Journal of Nonlinear Optical Physics & Materials (2022). https://dx.doi.org/10.1142/S0218863522500096
69. O. González-Gaxiola; ``Optical soliton solutions for Triki–Biswas equation by Kudryashov’s 𝑅 function method"; Optik 249, 168230 (2022) . https://doi.org/10.1016/j.ijleo.2021.168230
70. O. González-Gaxiola, A. Biswas; Y. Yildirim, H. M. Alshehri; ``Highly dispersive optical solitons in birefringent fibers having non-local law of nonlinear refractive index by Laplace-Adomian decomposition"; Ukrainian Journal of Physical Optics, 23, 68-76 (2022). doi: 10.3116/16091833/23/2/68/2022
71. O. González-Gaxiola, A. Biswas; Y. Yildirim, H. M. Alshehri; ``Highly dispersive optical solitons in birefringent fibers having Kerr law of refractive index by Laplace–Adomian decomposition"; Optik, 257, 168788 (2022). doi: 10.1016/j.ijleo.2022.168788
72. O. González-Gaxiola, A. Biswas; Y. Yildirim, H. M. Alshehri; ``Numerical simulation of cubic-quartic optical soliton perturbation with Lakshmanan-Porsezian-Daniel model by Laplace-Adomian decomposition"; Optoelectronics and Advanced Materials, (2022) . Aceptado
73. O. González-Gaxiola, A. Biswas; Y. Yildirim, L. Moraru; ``Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition"; Mathematics, 10, 1589 (2022) . https://doi.org/10.3390/math10091589
74. O. González-Gaxiola, Randolph Rach, J. Ruíz de Chávez; ``Solution for a rotational pendulum system by the Rach–Adomian–Meyers decomposition method"; Nonlinear Engineering, 11, 156-167 (2022). https://doi.org/10.1515/nleng-2022-0021
75. O. González-Gaxiola, J. Ruíz de Chávez; ``Application of a heuristic method to solve nonlinear oscillators with irrational forces"; Eur. J. of Pure and Applied Mathematics, 15(1), 82-99 (2022).
76. O. González-Gaxiola, A. León-Ramírez. and G. Chacón-Acosta; "Application of the Kudryashov Method for Finding Exact Solutions of the Schamel-Kawahara Equation" Russian J. of Nonlinear Dynamics (2022) 18(2). 203-215. DOI:10.20537/nd220204
77. O. González-Gaxiola, A. Biswas; Y. Yildirim, A. Dakova; ``Numerical Simulation of Highly Dispersive Dark Optical Solitons With Kerr Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition Method"; C. R. Acad. Bulg. Sci., Accepted (2022).
78. O. González-Gaxiola, A. Biswas; Y. Yildirim, H. M. Alshehri; "Bright Optical Solitons with Polynomial Law of Nonlinear Refractive Index by Adomian Decomposition Scheme"; Proceedings of the Estonian Academy of Sciences; 71(3), 213-220 (2022). https://doi.org/10.3176/proc.2022.3.02
Para mayor información, visitar el sitio web: https://encrypted.google.com/#q=o+gonzalez-gaxiola