New exact solutions and conservation laws of the (2+1)-dimensional dispersive long wave equations

DOI10.1016/j.physleta.2008.11.007zbMath1227.35124OpenAlexW2045353718MaRDI QIDQ647072

Na Liu, Xi-Qiang Liu, Hai-Ling Lü

Publication date: 30 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.11.007

zbMATH Keywords

conservation lawsexact solutionsdispersive long wave equationsLie point symmetry groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the \((2+1)\)-dimensional BKP equation ⋮ The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions ⋮ Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization ⋮ Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations ⋮ Exact solutions for fractional partial differential equations by a new fractional sub-equation method ⋮ A symmetry classification for a class of \((2+1)\)-nonlinear wave equation ⋮ Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system ⋮ Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations

Cites Work

• Unnamed Item
• Conservation laws and associated symmetries for some classes of soil water motion equations
• Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces.
• Symmetry and integration methods for differential equations
• Group theoretical analysis of dispersive long wave equations in two space dimensions
• Exotic Localized Coherent Structures of the (2+1)-Dimensional Dispersive Long-Wave Equation
• Spectral transform for a two spatial dimension extension of the dispersive long wave equation

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