Two-dimensional lumps in nonlinear dispersive systems

Journal of Mathematical Physics - Tập 20 Số 7 - Trang 1496-1503 - 1979
Junkichi Satsuma1,2, Mark J. Ablowitz1,2
1Department of Applied Mathematics and Physics, Faculty of Engineering, Kyoto University, Kyoto 606, Japan
2Department of Mathematics, Clarkson College of Technology, Potsdam, New York 13676

Tóm tắt

Two-dimensional lump solutions which decay to a uniform state in all directions are obtained for the Kadomtsev–Petviashvili and a two-dimensional nonlinear Schrödinger type equation. The amplitude of these solutions is rational in its independent variables. These solutions are constructed by taking a ’’long wave’’ limit of the corresponding N-soliton solutions obtained by direct methods. The solutions describing multiple collisions of lumps are also presented.

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Tài liệu tham khảo

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Thông tin xuất bản

Journal of Mathematical Physics

Tập 20 Số 7

1496-1503

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