Unified Riccati equation expansion method and its application to two new classes of Benjamin-Bona-Mahony equations
type: Item
instance of: scholarly article
title: Unified Riccati equation expansion method and its application to two new classes of Benjamin-Bona-Mahony equations
zbMATH Open document ID: 1374.37091
author: Sirendaoreji
published in: Nonlinear Dynamics
publication date: 2017-11-17T00:00:00Z
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 6808332
zbMATH Keywords: Riccati equation
zbMATH Keywords: fractional solution
zbMATH Keywords: traveling wave solution
zbMATH Keywords: periodic solution
MaRDI profile type: Publication
full work available at URL: s11071-017-3457-6
OpenAlex ID: W2593706619
cites work: Solitary wave solutions of nonlinear wave equations
cites work: The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
cites work: Exact solutions for a surface wave equation
cites work: Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
cites work: The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
cites work: Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
cites work: Auxiliary equation method for solving nonlinear partial differential equations
cites work: New exact travelling wave solutions for the Kawahara and modified Kawahara equations
cites work: On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients
cites work: Q3582912
cites work: A generalized auxiliary equation method and its application to \((2+1)\)-dimensional Korteweg-de Vries equations
cites work: Extended auxiliary equation method and its applications to three generalized NLS equations
cites work: Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms
cites work: The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
cites work: Abundant new exact solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
cites work: The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations
cites work: New traveling wave solutions by the extended generalized Riccati equation mapping method of the \((2 + 1)\)-dimensional evolution equation
cites work: Soliton and soliton-like solutions to the modified Zakharov-Kuznetsov equation in nonlinear transmission line
cites work: Travelling wave solutions and soliton solutions for the nonlinear transmission line using the generalized Riccati equation mapping method
cites work: Q3111377
cites work: On the exact solitary wave solutions of a special class of Benjamin-Bona-Mahony equation
DOI: 10.1007/S11071-017-3457-6
Recommended article: Q4919115
Recommended article: GENERALIZED RICCATI EQUATION EXPANSION METHOD AND ITS APPLICATION TO THE (2+1)-DIMENSIONAL BOUSSINESQ EQUATION
Recommended article: A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
Recommended article: Q5747153
Recommended article: A new generalized Riccati equation rational expansion method to a class of nonlinear evolution equations with nonlinear terms of any order
Recommended article: Application of the improved \(F\)-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations
Recommended article: A new linearized method for Benjamin-Bona-Mahony equations
Recommended article: Q3104102
Recommended article: Q3622485
Recommended article: Generalized Riccati equation rational expansion method and its application
description: scientific article; zbMATH DE number 6808332