Some group-invariant solutions of potential Kadomtsev-Petviashvili equation by using Lie symmetry approach
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Publication:1798179
DOI10.1007/s11071-018-4090-8zbMath1398.37063OpenAlexW2789397922WikidataQ115381713 ScholiaQ115381713MaRDI QIDQ1798179
Atul Kumar Tiwari, Mukesh Kumar
Publication date: 23 October 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4090-8
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (11)
On group-invariant solutions of Konopelchenko-Dubrovsky equation by using Lie symmetry approach ⋮ High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation ⋮ Two-layer fluid formation and propagation of periodic solitons induced by \((3+1)\)-dimensional KP equation ⋮ On the invariant analysis, symmetry reduction with group-invariant solution and the conservation laws for (2 + 1)-dimensional modified Heisenberg ferromagnetic system ⋮ On Lie symmetries and soliton solutions of \((2+1)\)-dimensional Bogoyavlenskii equations ⋮ Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation ⋮ Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation ⋮ Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients ⋮ Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation ⋮ Lie symmetry analysis, optimal system and exact solutions for variable-coefficients \((2 + 1)\)-dimensional dissipative long-wave system ⋮ LUMPS AND THEIR INTERACTION SOLUTIONS OF A (2+1)-DIMENSIONAL GENERALIZED POTENTIAL KADOMTSEV-PETVIASHVILI EQUATION
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