Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev–Petviashvili Equation

DOI10.1088/0253-6102/65/3/341zbMath1335.35221OpenAlexW2326765580MaRDI QIDQ2805548

Xi-zhong Liu, Bo Ren, Jun Yu

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1088/0253-6102/65/3/341

zbMATH Keywords

nonlocal symmetrypotential Kadomtsev-Petviashvili equationfront waveconsistent tanh expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Other special methods applied to PDEs (35A25) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (7)

High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation ⋮ Localization of nonlocal symmetries and interaction solutions of the Sawada–Kotera equation ⋮ Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation ⋮ Some group-invariant solutions of potential Kadomtsev-Petviashvili equation by using Lie symmetry approach ⋮ Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation ⋮ LUMPS AND THEIR INTERACTION SOLUTIONS OF A (2+1)-DIMENSIONAL GENERALIZED POTENTIAL KADOMTSEV-PETVIASHVILI EQUATION ⋮ Spatio-Temporal Deformation of Kink-Breather to the (2+1)-Dimensional Potential Boiti–Leon–Manna–Pempinelli Equation

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