A note on some sub-equation methods and new types of exact travelling wave solutions for two nonlinear partial differential equations

DOI10.1007/S10440-008-9292-5zbMath1173.35113OpenAlexW2076079372WikidataQ115384860 ScholiaQ115384860MaRDI QIDQ1028007

Huiqun Zhang

Publication date: 30 June 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9292-5

zbMATH Keywords

general solutionssub-equation methodsCKdV equationsCKdV-MKdV equationexact travelling eave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (8)

On the wave solutions of two-mode equations ⋮ The periodic solutions to Kawahara equation by means of the auxiliary equation with a sixth-degree nonlinear term ⋮ The combination of conservation laws and auxiliary equation method ⋮ Various exact travelling wave solutions for Kundu equation with fifth-order nonlinear term ⋮ On solutions of the fifth-order dispersive equations with porous medium type non-linearity ⋮ Application of the \((\frac{G'}{G})\)-expansion method for the complex KdV equation ⋮ Comment on: ``An observation on the periodic solutions to nonlinear physical models by means of the auxiliary equation with a sixth-degree nonlinear term ⋮ Observations on the class of ``Balancing Principle for nonlinear PDEs that can be treated by the auxiliary equation method

Uses Software

• MACSYMA
• ATFM

Cites Work

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• Optical solitons in erbium-doped fibres with higher-order effects and pumping
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