Traveling wave solutions of the nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation using the two variables \((G/G, 1/G)\)-expansion method

DOI10.1155/2012/560531zbMath1251.65150OpenAlexW1600109554WikidataQ58906134 ScholiaQ58906134MaRDI QIDQ1760736

S. A. Hoda Ibrahim, Elsayed M. E. Zayed, Mahmoud A. M. Abdelaziz

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/560531

zbMATH Keywords

exact traveling wave solutionsnonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equationtwo variables \((G'/G, 1/G)\)-expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (8)

Solitons for compound KdV-Burgers equation with variable coefficients and power law nonlinearity ⋮ The \((G'/ G, 1 / G)\)-expansion method and its applications to find the exact solutions of nonlinear PDEs for nanobiosciences ⋮ The \((G' / G, 1 / G)\)-expansion method and its applications for solving two higher order nonlinear evolution equations ⋮ The generalized projective Riccati equations method for solving nonlinear evolution equations in mathematical physics ⋮ An investigation of abundant traveling wave solutions of complex nonlinear evolution equations: The perturbed nonlinear Schrodinger equation and the cubic-quintic Ginzburg-Landau equation ⋮ Exact solutions of nonlinear Schrödinger equation by using symbolic computation ⋮ Exact solutions of nonlinear wave equations using \((G^\prime/G, 1/G)\)-expansion method ⋮ On solving two higher-order nonlinear PDEs describing the propagation of optical pulses in optic fibers using the \((\frac{G^\prime}{G},\frac{1}{G})\)-expansion method

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