New Homoclinic and Heteroclinic Solutions for Zakharov System

王传坚; 戴正德; 母贵

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理论物理通讯 ›› 2012 ›› Issue (05) : 749-753.

New Homoclinic and Heteroclinic Solutions for Zakharov System

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New Homoclinic and Heteroclinic Solutions for Zakharov System

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摘要

A new type of homoclinic and heteroclinic solutions, i.e. homoclinic and heteroclinic breather solutions, for Zakharov system are obtained using extended homoclinic test and two-soliton methods, respectively. Moreover, the homoclinic and heteroclinic structure with local oscillation and mechanical feature different from homoclinic and heterocliunic solutions are investigated. Result shows complexity of dynamics for complex nonlinear evolution system. Moreover, the similarities and differences between homoclinic (heteroclinic) breather and homoclinic (heteroclinic) tube are exhibited. These results show that the diversity of the structures of homoclinic and heteroclinic solutions.

Abstract

导出引用

王传坚, 戴正德, 母贵. New Homoclinic and Heteroclinic Solutions for Zakharov System[J]. 理论物理通讯, 2012(05): 749-753

WANG Chuan-Jian, DAI Zheng-De, MU Gui. New Homoclinic and Heteroclinic Solutions for Zakharov System[J]. Communications in Theoretical Physics, 2012(05): 749-753

中图分类号： 47.90.+a 02.30.Jr 05.90.+m

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