Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations

DOI10.1016/j.chaos.2007.01.023zbMath1146.35405OpenAlexW2030580198MaRDI QIDQ953618

Teoman Özer

Publication date: 6 November 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.01.023

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (12)

Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials ⋮ Onμ-symmetries,μ-reductions, andμ-conservation laws of Gardner equation ⋮ Symmetry analysis and invariance relations in creep ⋮ New traveling wave solutions to AKNS and SKdV equations ⋮ Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation ⋮ New conservation forms and Lie algebras of Ermakov-Pinney equation ⋮ Solitary wave solutions of mKdV–Calogero–Bogoyavlenskii–Schiff equation by using Lie symmetry analysis ⋮ On Lie symmetries and invariant solutions of (2+1)-dimensional Gardner equation ⋮ Soliton solutions of BLMP equation by Lie symmetry approach ⋮ Theoretical-group analysis of the inviscid gravity currents ⋮ New exact solutions to the CDF equations ⋮ Invariant solutions and conservation laws to nonconservative FP equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry group analysis of Benney system and an application for shallow-water equations
• Exact solutions of some systems of nonlinear partial differential equations using symbolic computation
• Improved Jacobian elliptic function method and its applications.
• New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
• On symmetry group properties and general similarity forms of the Benney equations in the Lagrangian variables
• Exact solutions of nonlinear equations
• A note on the homogeneous balance method
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Method for Solving the Korteweg-deVries Equation
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

This page was built for publication: Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations