Hao Hong-hai, Zhang Da-jun, Deng Shu-fang, “The Kadomtsev–Petviashvili equation with self-consistent sources in nonuniform media”, TMF, 2009, Volume 158, Number 2,Pages <nobr>181

This article is cited in 7 papers

The Kadomtsev–Petviashvili equation with self-consistent sources in nonuniform media

Hao Hong-hai^a, Zhang Da-jun^a, Deng Shu-fang^b

^a Department of Mathematics, Shanghai University
^b East China University of Science and Technology

Abstract: We derive the nonisospectral Kadomtsev–Petviashvili equation with self-consistent sources and obtain $N$-soliton solutions of the equation by both Hirota's method and the Wronskian technique. We discuss one-soliton characteristics, two-soliton scattering in nonuniform media, and source effects.

Keywords: nonisospectral Kadomtsev–Petviashvili equation with self-consistent sources, Hirota's method, Wronskian technique, dynamical characteristic, soliton resonance.

Received: 17.01.2008
Revised: 10.03.2008

DOI: 10.4213/tmf6308