Solitons—self-localized robust and long-lived nonlinear solitary waves that do not disperse
and preserve their identity during propagation and after a collision—arise in any physical …

Fractional calculus (FC) is widely used in many interdisciplinary branches of science due to
its effectiveness in describing and investigating complicated phenomena. In this work …

In this work, we study the generalized variable-coefficient Gardner equation (GVG) with
nonlinear terms of any order and forcing term, abundant new exact solutions for the equation …

This paper is devoted to create new exact and numerical solutions of the generalized
Korteweg-de Vries (GKdV) equation with ansatz method and Galerkin finite element method …

The nonlinear dynamics of a discretized form of quasi-periodic plasma perturbations model
(Q-PPP) with nonlocal fractional differential operator possessing singular kernel are …

Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations
Page 1 Asian-European Journal of Mathematics Vol. 11, No. 3 (2018) 1850040 (12 pages) c© …

An algorithm for approximating numerical solution to Korteweg-de Vries (KdV) and Korteweg-
de Vries-Burger's (KdVB) equations in B-polynomials (Bernstein polynomial basis) is …

Bright and dark soliton solutions for the perturbed nonlinear Schrödinger’s equation with
Kerr law and non-Kerr law nonlinearity - ScienceDirect Skip to main contentSkip to article …

Some new soliton-like and doubly periodic-like solutions of Fisher equation with time-dependent
coefficients Page 1 Modern Physics Letters B Vol. 32, No. 33 (2018) 1850413 (12 pages) c …

In this paper, we consider the exact solutions and soliton diffusion phenomenon of two kinds
of stochastic KdV equations with variable coefficients. Firstly, according to symmetric …