Lie symmetry analysis of Kudryashov-Sinelshchikov equation

DOI10.1155/2011/457697zbMath1236.35155arXiv1105.0625OpenAlexW3100047033WikidataQ58693068 ScholiaQ58693068MaRDI QIDQ410393

Mehdi Nadjafikhah, Vahid Shirvani-Sh

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0625

Mathematics Subject Classification ID

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

Related Items (11)

Some new exact solutions of \((3+1)\)-dimensional Burgers system via Lie symmetry analysis ⋮ Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves ⋮ A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation ⋮ Invariant analysis with conservation laws for the time fractional Drinfeld-Sokolov-Satsuma-Hirota equations ⋮ Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov-Sinelshchikov equation ⋮ Some general new Einstein Walker manifolds ⋮ On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles ⋮ Quasi-exact solutions of the equation for description of nonlinear waves in a liquid with gas bubbles ⋮ On nonlinear differential equation with exact solutions having various pole orders ⋮ Bifurcation and the exact smooth, cusp solitary and periodic wave solutions of the generalized Kudryashov-Sinelshchikov equation ⋮ Application of group methods in solving wave equations

Cites Work

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• Nonlinear waves in fluid flow through a viscoelastic tube
• Classification of three-dimensional Lie algebras in \(\mathbb{R}^3\) and their second-order differential invariants
• Nonlinear evolution equation for describing waves in a viscoelastic tube
• Traveling wave solutions of the generalized nonlinear evolution equations
• Lie symmetries of inviscid Burgers' equation
• Similarity methods for differential equations
• Symmetries and differential equations

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