• Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/089/05/0077

• # Keywords

Kadomtsev–Petviashvili equation; lump solution; space–time structure; Hirota’s bilinear method

• # Abstract

A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter $u_0$ for the (2+1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory.

• # Author Affiliations

1. College of Mathematics and Statistics, Jishou University, Jishou 416000, People’s Republic of China
2. College of Mathematics and Statistics, Yunnan University, Kunming 650091, People’s Republic of China

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019