Solutions of Kadomtsev–Petviashvili equation with power law nonlinearity in 1+3 dimensions

✍ Scribed by Abdullahi Rashid Adem; Chaudry Masood Khalique; Anjan Biswas

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 346 KB
• Volume: 34
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1378

✦ Synopsis

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.