Soliton solutions of KD system using similarity transformations method
type: Item
instance of: scholarly article
title: Soliton solutions of KD system using similarity transformations method
zbMATH Open document ID: 1378.35013
author: Mukesh Kumar
author: Raj Kumar
publication date: 2017-08-18T00:00:00Z
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35C06
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 6762057
zbMATH Keywords: similarity solutions
zbMATH Keywords: Lie group theory
zbMATH Keywords: Konopelchenko-Dubrovsky system
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.12.025
OpenAlex ID: W2580070052
cites work: Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory
cites work: Invariance of the nonlinear generalized NLS equation under the Lie group of scaling transformations
cites work: Quasi-periodic wave solutions for the \((2+1)\)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation
cites work: Symbolic computation and new families of exact non-travelling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
cites work: New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
cites work: Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method
cites work: Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
cites work: The periodic wave solutions for the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
cites work: A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations
cites work: New exact solutions for the Konopelchenko-Dubrovsky equation using an extended Riccati equation rational expansion method and symbolic computation
cites work: Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations
cites work: Lie point symmetry and some new soliton-like solutions of the Konopelchenko-Dubrovsky equations
cites work: Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics
cites work: Symmetry reductions of the Lax pair for the 2 + 1-dimensional Konopelchenko-Dubrovsky equation
cites work: Painlevé Analysis, Soliton Solutions and Bäcklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko—Dubrovsky Equations in Fluid Mechanics via Symbolic Computation
cites work: Bifurcation of traveling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
cites work: Construction of \(N\)-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations
cites work: Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation
cites work: A new mapping method and its applications to nonlinear partial differential equations
cites work: Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
cites work: Explicit and exact travelling wave solutions for Konopelchenko-Dubrovsky equation
cites work: New exact solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
cites work: Finite Symmetry Transformation Groups and Exact Solutions of Konopelchenko–Dubrovsky Equation
cites work: Similarity methods for differential equations
cites work: Q4273954
cites work: Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
cites work: Some more similarity solutions of the \((2+1)\)-dimensional BLP system
cites work: On some new exact solutions of incompressible steady state Navier-Stokes equations
cites work: On similarity solutions of Zabolotskaya-Khokhlov equation
cites work: On New Similarity Solutions of the Boiti—Leon—Pempinelli System
cites work: NEW LOCALIZED EXCITATIONS IN (2+1)-DIMENSIONAL INTEGRABLE SYSTEMS
DOI: 10.1016/J.CAMWA.2016.12.025
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6762057