Approximate similarity reduction for singularly perturbed Boussinesq equation via symmetry perturbation and direct method

DOI10.1063/1.2976034zbMath1152.81493OpenAlexW2014609838MaRDI QIDQ5505041

Sen-yue Lou, Xiaoyu Jiao, Ruo-Xia Yao

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c8b140a9b5fbcacdbc90754a6fcf88b2807530af

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants of ordinary differential equations (34C14) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Interaction behavior between solitons and (\(2+1)\)-dimensional CDGKS waves ⋮ Approximate homotopy symmetry and infinite series solutions to the perturbed mKdV equation ⋮ Approximate symmetries analysis and conservation laws corresponding to perturbed Korteweg-de Vries equation ⋮ Recursion operator and local and nonlocal symmetries of a new modified KdV equation ⋮ A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations

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• APPROXIMATE SYMMETRIES

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