1-soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity

DOI10.1016/j.amc.2009.04.001zbMath1172.35476OpenAlexW2111156977MaRDI QIDQ833163

Anjan Biswas, Arjuna I. Ranasinghe

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.001

zbMATH Keywords

integrabilitysolitonsintegrals of motionKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (15)

Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion ⋮ Explicit solutions and conservation laws of the logarithmic-KP equation ⋮ Solutions of Kadomtsev-Petviashvili equation with power law nonlinearity in 1+3 dimensions ⋮ Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion ⋮ Analytical study of solitons to nonlinear time fractional parabolic equations ⋮ Application of the \((\frac{G'}{G})\)-expansion method to \((3 +1)\)-dimensional nonlinear evolution equations ⋮ Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients ⋮ The domination numbers of cylindrical grid graphs ⋮ Multiple wave solutions and auto-Bäcklund transformation for the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ Exact three-wave solutions for the KP equation ⋮ 1-Soliton solution of the generalized KP equation with generalized evolution ⋮ Exact solutions of a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation using Lie symmetry analysis ⋮ Topological and Nontopological 1-Soliton Solution of the Generalized KP-MEW Equation ⋮ Solitons and other solutions to Wu–Zhang system ⋮ Dynamics of shallow water waves with Gardner-Kadomtsev-Petviashvili equation

Cites Work

• Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
• A new extended KP hierarchy
• The double Wronskian solutions of a non-isospectral Kadomtsev-Petviashvili equation
• On the low regularity of the fifth order Kadomtsev-Petviashvili I equation
• Higher order approximations in reductive perturbation method: strongly dispersive waves
• New multiple soliton-like solutions to the generalized \((2+1)\)-dimensional KP equation
• Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations
• Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method

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