Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

doi:10.1088/1674-1056/17/12/001

中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4337-4343.doi: 10.1088/1674-1056/17/12/001

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Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

杨建荣¹, 毛杰健²

(1)Department of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China; (2)Department of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China

收稿日期:2007-06-25 修回日期:2008-09-11 出版日期:2008-12-20 发布日期:2008-12-20

Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

Yang Jian-Rong (杨建荣), Mao Jie-Jian (毛杰健)

Department of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China

Received:2007-06-25 Revised:2008-09-11 Online:2008-12-20 Published:2008-12-20

摘要/Abstract

摘要： The Hirota's bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg-de Vries (mKdV) system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this (1+1)-dimensional integrable coupled model.

关键词: coupled mKdV system, Hirota's bilinear method, soliton solution, elastic interaction

Abstract: The Hirota's bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg-de Vries (mKdV) system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this (1+1)-dimensional integrable coupled model.

Key words: coupled mKdV system, Hirota's bilinear method, soliton solution, elastic interaction

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems)

杨建荣, 毛杰健. Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system[J]. 中国物理B, 2008, 17(12): 4337-4343.

Yang Jian-Rong (杨建荣), Mao Jie-Jian (毛杰健). Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system[J]. Chin. Phys. B, 2008, 17(12): 4337-4343.

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Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

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