A new simplified bilinear method for the \(N\)-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients
type: Item
instance of: scholarly article
title: A new simplified bilinear method for the \(N\)-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients
zbMATH Open document ID: 1401.35263
author: Marwan Alquran
author: H. M. Jaradat
author: Safwan Al-Shara'
author: Fadi Awawdeh
published in: International Journal of Nonlinear Sciences and Numerical Simulation
publication date: 2018-08-15T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 37K40
zbMATH DE Number: 6918676
zbMATH Keywords: Hirota bilinear method
zbMATH Keywords: \(N\)-soliton solutions
zbMATH Keywords: modified Riemann-Liouville derivative
zbMATH Keywords: variable coefficients FmKdV equation
MaRDI profile type: Publication
full work available at URL: ijnsns-2014-0023
OpenAlex ID: W2562231807
cites work: Solitary wave and other solutions for nonlinear heat equations
cites work: A general approach to specific second order ordinary differential equations using homotopy perturbation method
cites work: Q718760
cites work: Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
cites work: Solving a multi-order fractional differential equation using Adomian decomposition
cites work: Numerical studies for a multi-order fractional differential equation
cites work: Fractional calculus -- a new approach to the analysis of generalized fourth-order diffusion-wave equations
cites work: Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
cites work: Lax pair, Bäcklund transformation and \(N\)-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation
cites work: Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves
cites work: Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation
cites work: The Painlevé property for partial differential equations
cites work: Painlevé Analysis and Determinant Solutions of a (3+1)-Dimensional Variable-Coefficient Kadomtsev–Petviashvili Equation in Wronskian and Grammian Form
cites work: N-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg–de Vries equation
cites work: Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
cites work: Q4828547
cites work: A multiple exp-function method for nonlinear differential equations and its application
cites work: Linear superposition principle applying to Hirota bilinear equations
cites work: A refined invariant subspace method and applications to evolution equations
cites work: Hirota bilinear equations with linear subspaces of solutions
cites work: Bilinear equations and resonant solutions characterized by Bell polynomials
cites work: Q3864730
cites work: Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: Q3864448
cites work: Exact envelope-soliton solutions of a nonlinear wave equation
cites work: Symbolic methods to construct exact solutions of nonlinear partial differential equations
cites work: Completely integrable coupled KdV and coupled KP systems
cites work: Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation
cites work: Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
cites work: Symbolic computation on soliton solutions for variable-coefficient quantum Zakharov-Kuznetsov equation in magnetized dense plasmas
cites work: No violation of the Leibniz rule. No fractional derivative
DOI: 10.1515/IJNSNS-2014-0023
description: scientific article; zbMATH DE number 6918676