Lie symmetry reductions and solitary wave solutions of modified equal width wave equation

DOI10.1007/s40819-018-0557-zzbMath1402.35020OpenAlexW2888956284MaRDI QIDQ1794709

Rajan Arora, Antim Chauhan

Publication date: 15 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0557-z

zbMATH Keywords

tanh methodpower series solutionLie symmetry analysis methodmodified equal width wave (MEWW) equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Series solutions to PDEs (35C10) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys ⋮ Some more solutions of Caudrey-Dodd-Gibbon equation using optimal system of Lie symmetries ⋮ More solutions of coupled equal width wave equations arising in plasma and fluid dynamics ⋮ Lie symmetry analysis and traveling wave solutions of equal width wave equation ⋮ Lie symmetry reductions and wave solutions of coupled equal width wave equation

Uses Software

• Maple

Cites Work

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• Similarity methods for differential equations
• The boundary forced MKdV equation
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• On similarity solutions of Zabolotskaya-Khokhlov equation
• The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
• Solitary waves of the regularised long-wave equation
• Algorithms for numerical solution of the modified equal width wave equation using collocation method
• Solitary wave solutions of nonlinear wave equations

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