Solutions of Kadomtsev–Petviashvili equation with power law nonlinearity in 1+3 dimensions |
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| Authors: | Abdullahi Rashid Adem Chaudry Masood Khalique Anjan Biswas |
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| Institution: | International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North‐West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa |
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| Abstract: | 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. |
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| Keywords: | Kadomtsev– Petviasvili equation solitons Lie symmetries |
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