[BOOK][B] Lie symmetry analysis of fractional differential equations
MS Hashemi, D Baleanu - 2020 - taylorfrancis.com
The trajectory of fractional calculus has undergone several periods of intensive
development, both in pure and applied sciences. During the last few decades fractional …
development, both in pure and applied sciences. During the last few decades fractional …
Elliptic function and solitary wave solutions of the higher-order nonlinear Schrödinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity …
The higher-order nonlinear Schrödinger equation (NLSE) with fourth-order dispersion, cubic-
quintic terms, self-steepening and nonlinear dispersive terms describes the propagation of …
quintic terms, self-steepening and nonlinear dispersive terms describes the propagation of …
[HTML][HTML] New solitary wave solutions of (3+ 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their …
In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed
in various forms of three dimensional nonlinear partial differential equations (PDEs) in …
in various forms of three dimensional nonlinear partial differential equations (PDEs) in …
[HTML][HTML] On nonlinear optical solitons of fractional Biswas-Arshed Model with beta derivative
Abstract The Biswas-Arshed (BA) model is an essential wave propagation model in
nonlinear optics and optical fibers. In this manuscript, the enhanced G′/G-expansion …
nonlinear optics and optical fibers. In this manuscript, the enhanced G′/G-expansion …
Construction of soliton solutions of the modify unstable nonlinear Schrödinger dynamical equation in fiber optics
In this research article, we investigated the universal model of integrable system of modify
unstable nonlinear Schrödinger equation. The mUNLSE described the disturbance of time …
unstable nonlinear Schrödinger equation. The mUNLSE described the disturbance of time …
Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis
The resonant nonlinear Schrödinger equation (NLSE) having quadratic-cubic nonlinearity
for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved …
for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved …
Soliton solutions of the generalised third-order nonlinear Schrödinger equation by two mathematical methods and their stability
The generalised nonlinear Schrödinger equation (NLSE) of third order is investigated, which
accepts one-hump embedded solitons in a single-parameter family. In this paper, we …
accepts one-hump embedded solitons in a single-parameter family. In this paper, we …
Application of the generalized G′/G-expansion method for nonlinear PDEs to obtaining soliton wave solution
We analytically study the nonlinear partial differential equations by the generalized G′/G-
expansion method. Explicit solutions are derived, which include solitons, singular solutions …
expansion method. Explicit solutions are derived, which include solitons, singular solutions …
Optical soliton solutions of nonlinear Schrödinger equation with second order spatiotemporal dispersion and its modulation instability
In optical fibers, the higher order non-linear Schrödinger equation (NLSE) with the
coefficients of group velocity dispersion, second-order spatiotemporal dispersion and cubic …
coefficients of group velocity dispersion, second-order spatiotemporal dispersion and cubic …
New exact solutions of some nonlinear evolution equations of pseudoparabolic type
This paper aims to conduct an analytical study into some nonlinear models of
pseudoparabolic type, including the Oskolkov, Oskolkov–Benjamin–Bona–Mahony …
pseudoparabolic type, including the Oskolkov, Oskolkov–Benjamin–Bona–Mahony …