Classification, reduction, group-invariant solutions and conservation laws of the Gardner-KP equation

DOI10.1016/j.amc.2009.06.062zbMath1172.76006OpenAlexW2063851291MaRDI QIDQ734890

Bin Xu, Xi-Qiang Liu

Publication date: 14 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.062

zbMATH Keywords

Lie groupsimilarity reductionoptimal systemdirect symmetry method

Mathematics Subject Classification ID

Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Soliton equations (35Q51) Ship waves (76B20) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (6)

On symmetries and conservation laws of a Gardner equation involving arbitrary functions ⋮ Symmetry reductions of the \((3+1)\)-dimensional modified Zakharov-Kuznetsov equation ⋮ Numerical analytic method for solving a large class of generalized non-homogeneous variable coefficients KdV problems based on lie symmetries ⋮ Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation ⋮ Lie symmetry analysis to the time fractional generalized fifth-order KdV equation ⋮ Conservation laws of two \((2+1)\)-dimensional nonlinear evolution equations with higher-order mixed derivatives

Cites Work

• Extended Jacobi elliptic function expansion method and its applications
• A new conservation theorem
• Auxiliary equation method for solving nonlinear partial differential equations
• New solitons and kink solutions for the Gardner equation
• Solitons and singular solitons for the Gardner-KP equation
• Method for Solving the Korteweg-deVries Equation

This page was built for publication: Classification, reduction, group-invariant solutions and conservation laws of the Gardner-KP equation