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

DOI10.1007/s11232-009-0013-7zbMath1179.35269OpenAlexW2039020676MaRDI QIDQ1034408

Shu-Fang Deng, Hong-Hai Hao, Da-jun Zhang

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0013-7

zbMATH Keywords

Hirota's methodsoliton resonanceWronskian techniquedynamical characteristicnonisospectral Kadomtsev-Petviashvili equation with self-consistent sources

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (5)

Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion ⋮ The rogue waves of the KP equation with self-consistent sources ⋮ SOLITON RESONANCES FOR THE MODIFIED KADOMTSEV–PETVIASHVILI EQUATIONS IN UNIFORM AND NON-UNIFORM MEDIA ⋮ New Type of Nonisospectral KP Equation with Self-Consistent Sources and its Bilinear Bäcklund Transformation ⋮ The exact solutions to a Ragnisco-Tu hierarchy with self-consistent sources

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