Author
J. F. Gómez-Aguilar
Bio: J. F. Gómez-Aguilar is an academic researcher. The author has contributed to research in topics: Nonlinear system & Kadomtsev–Petviashvili equation. The author has an hindex of 4, co-authored 4 publications receiving 122 citations.
Papers
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TL;DR: In this article, a wave variable transformation is first utilized for reducing the Biswas-Arshed equation with the beta time derivative to a nonlinear ODE of integer order; then, optical solitons and other solutions of the model are retrieved by adopting the Jacobi and Kudryashov methods.
88 citations
TL;DR: In this article, the Sasa-Satsuma (SS) equation describing the propagation of short light pulses is derived in the presence of the beta-derivatives, and the dynamics of soliton solutions in the monomode optical fibers is analyzed for different values of the parameter β.
71 citations
TL;DR: In this article, a new generalized Kadomtsev-Petviashvili (KP) NLE equation with diverse appli cation is proposed. But, it is not suitable for nonlinear evolution (NLE) problems.
Abstract: Rational solutions of nonlinear evolution (NLE) equations have been the subject of numerous research papers. In this paper, a new generalized Kadomtsev–Petviashvili (KP) equation with diverse appli...
39 citations
TL;DR: A nonlinear Schrodinger equation describing the polarization mode in an optical fiber which involves different physical terms such as quintic nonlinearity, self-steepening effect, and self-frequency shift is investigated in this article.
Abstract: A nonlinear Schrodinger equation describing the polarization mode in an optical fiber which involves different physical terms such as quintic nonlinearity, self-steepening effect, and self-frequency shift is investigated in the present paper. The study goes on by adopting a field function and effective ansatzes to arrive at a highly nonlinear ODE which is formally solved with the help of the modified Kudryashov and $$exp_{a}$$
-function methods. As a result, a series of chirped optical solitons along with nonlinear chirps is retrieved, confirming the fantastic performance of schemes.
19 citations
Cited by
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TL;DR: In this article, the Sasa-Satsuma (SS) equation describing the propagation of short light pulses is derived in the presence of the beta-derivatives, and the dynamics of soliton solutions in the monomode optical fibers is analyzed for different values of the parameter β.
71 citations
TL;DR: In this article, the optical soliton solutions of the generalized non-autonomous nonlinear Schrodinger equation (NLSE) by means of the new Kudryashov method (NKM) were examined with time-dependent coefficients.
Abstract: In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrodinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients. We considered three interesting non-Kerr laws which are respectively the quadratic-cubic law, anti-cubic law, andtriple power law. The proposed method, as a newly developed mathematical tool, is efficient, reliable, and a simple approach for computing new solutions to various kinds of nonlinear partial differential equations (NLPDEs) in applied sciences and engineering.
66 citations
TL;DR: In this article, high-order nonlinear Schrodinger equations in non-Kerr law media with different laws of nonlinearities are studied, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers.
Abstract: In the present paper, high-order nonlinear Schrodinger equations in non-Kerr law media with different laws of nonlinearities are studied In this respect, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers, their soliton solutions are obtained using the well-organized new Kudryashov method It is believed that the new Kudryashov method provides an effective mathematical tool to look for soliton solutions of high-order nonlinear Schrodinger equations
59 citations
TL;DR: In this article, the exact soliton solutions under the effect of cubic-quintic-septic nonlinearities for a 6-order (3 + 1 ) -dimensional nonlinear time-fractional Schrodinger equation with fourth-order and sixth-order dispersive terms were examined.
55 citations
TL;DR: In this paper, a (2 + 1)-dimensional nonlinear model with the beta time derivative describing the wave propagation in the Heisenberg ferromagnetic spin chain was analyzed.
Abstract: This paper analytically explores a (2 + 1)-dimensional nonlinear model with the beta time derivative describing the wave propagation in the Heisenberg ferromagnetic spin chain. Particularly, after allocating the beta time derivative to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (2D-HFSC) model, its 1-soliton solutions are formally derived through utilizing a group of systematic techniques such as the new Kudryashov and exponential methods. Some graphical representations in three-dimensional postures are considered to analyze the impact of the beta parameter on the dynamical behavior of the bright and dark solitons.
55 citations