论文信息 - Kadomtsev-Petviashvili equation with a source and its soliton solutions

Kadomtsev-Petviashvili equation with a source and its soliton solutions

A new class of coupled soliton equations in 2+1 dimensions is proposed. They describe the interactions of a wavepacket of short waves with a single long wave on the xy plane. The N-soliton solutions of the equations are obtained explicitly. The proposed system of equations is also shown to include, as special cases, various known physical equations, indicating that the system is relevant to describe physical systems and may have wide applications in hydrodynamics and plasma physics, etc.

Yoshimasa Matsuno | Y. Matsuno

[1] D. Kaup. Cavitons are solitons: An integrable ponderomotive system , 1988 .

[2] Yoshimasa Matsuno,et al. Bilinear Transformation Method , 1984 .

[3] Junkichi Satsuma,et al. An N-Soliton Solution for the Nonlinear Schrödinger Equation Coupled to the Boussinesq Equation , 1988 .

[4] V. K. Mel’nikov. A direct method for deriving a multi-soliton solution for the problem of interaction of waves on thex,y plane , 1987 .

[5] V. K. Mel’nikov,et al. Integration of the Korteweg-de Vries equation with a source , 1990 .

[6] V. K. Mel’nikov. Wave emission and absorption in a nonlinear integrable system , 1986 .

[7] Junkichi Satsuma,et al. N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation , 1976 .

[8] V. K. Mel’nikov. On equations for wave interactions , 1983 .

[9] M. Jimbo,et al. Solitons and Infinite Dimensional Lie Algebras , 1983 .

[10] J. Leon,et al. Solution of an initial-boundary value problem for coupled nonlinear waves , 1990 .

[11] Yoko Hase,et al. Soliton Solutions to the Mel'nikov Equations , 1989 .

[12] R. Hirota. Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .

[13] V. K. Mel’nikov. Capture and confinement of solitons in nonlinear integrable systems , 1989 .