Symmetry Reduction of the (2+1)-Dimensional Modified Dispersive Water-Wave System*

DOI10.1088/0253-6102/64/2/127zbMath1321.37064OpenAlexW2291060162MaRDI QIDQ2948513

Zheng-Yi Ma, Jinxi Fei, Xiao-Yang du

Publication date: 1 October 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/64/2/127

zbMATH Keywords

explicit solutionsoliton excitationsymmetry reductiondispersive water-wave system

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (4)

Painlevé analysis, auto-Bäcklund transformations, bilinear forms and soliton solutions for a (2+1)-dimensional variable-coefficient modified dispersive water-wave system in fluid mechanics ⋮ Painlevé analysis, infinite dimensional symmetry group and symmetry reductions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation ⋮ Lie group analysis for a \((2+1)\)-dimensional generalized modified dispersive water-wave system for the shallow water waves ⋮ Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations

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