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Solutions of Kadomtsev–Petviashvili equation with power law nonlinearity in 1+3 dimensions
Author(s) -
Adem Abdullahi Rashid,
Khalique Chaudry Masood,
Biswas Anjan
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1378
Subject(s) - mathematics , hyperbolic function , soliton , nonlinear system , kadomtsev–petviashvili equation , symmetry (geometry) , power law , power (physics) , function (biology) , mathematical analysis , partial differential equation , mathematical physics , law , characteristic equation , geometry , physics , quantum mechanics , statistics , evolutionary biology , political science , biology
This paper studies the solution of the Kadomtsev–Petviasvili equation with power law nonlinearity in 1+3 dimensions. The Lie symmetry approach as well as the extended tanh‐function and G ′/ G methods are used to carry out the analysis. Subsequently, the soliton solution is obtained for this equation with power law nonlinearity. Both topological as well as non‐topological solitons are obtained for this equation. Copyright © 2010 John Wiley & Sons, Ltd.