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Fission and Fusion of Localized Coherent Structures for a Higher-Order Broer-Kaup System 被引量:8

Fission and fusion of localized coherent structures for a higher-order Broer-Kaup system
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摘要 Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure. Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more general expression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6期993-997,共5页 理论物理通讯(英文版)
基金 国家自然科学基金,浙江省重点学科基金
关键词 高阶Broer-Kaup系统 变量分离路径 巴克伦德变换 偏微分方程 局部相干结构 higher-order Broer-Kaup system variable separation approach Backlund transformation soliton fission soliton fusion
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