Symmetry analysis and invariant solutions of (3 + 1)-dimensional Kadomtsev–Petviashvili equation

DOI10.1142/S0219887818501256zbMath1394.35015OpenAlexW2802821669MaRDI QIDQ4566452

Vishakha Jadaun, Sachin Kumar

Publication date: 27 June 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818501256

zbMATH Keywords

Lie symmetry analysispower series methodstrong spatial dispersionWeierstrass's elliptic and zeta functions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Series solutions to PDEs (35C10) Elliptic functions and integrals (33E05) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena ⋮ Lie symmetry analysis and invariant solutions of 3D Euler equations for axisymmetric, incompressible, and inviscid flow in the cylindrical coordinates ⋮ Soliton solutions of generalized \((3+1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation using Lie symmetry analysis ⋮ Solitary wave solutions of mKdV–Calogero–Bogoyavlenskii–Schiff equation by using Lie symmetry analysis ⋮ Symmetry analysis and some new exact solutions of Born–Infeld equation ⋮ Lie symmetry reductions and dynamics of solitary wave solutions of breaking soliton equation ⋮ Impact of solitons on the progression of initial lesion in aortic dissection ⋮ Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation

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