Geodesic
The Kadomtsev--Petviashvili equation with self-consistent sources in~nonuniform media
Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 2, pp. 181-199

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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, dynamical characteristic, soliton resonance.
Mots-clés : Wronskian technique 
@article{TMF_2009_158_2_a1,
     author = {Hao Hong-hai and Zhang Da-jun and Deng Shu-fang},
     title = {The {Kadomtsev--Petviashvili} equation with self-consistent sources in~nonuniform media},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {181--199},
     publisher = {mathdoc},
     volume = {158},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_158_2_a1/}
}
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Hao Hong-hai; Zhang Da-jun; Deng Shu-fang. The Kadomtsev--Petviashvili equation with self-consistent sources in~nonuniform media. Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 2, pp. 181-199. http://geodesic.mathdoc.fr/item/TMF_2009_158_2_a1/