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Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method
摘    要:With Hirota's bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges of their physical quantities including energy, velocity and shape except the phase shift.

关 键 词:KdV系统  孤立子溶液  交互作用  双线性方法
收稿时间:2007-01-10

Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method
Authors:YANG Jian-Rong MAO Jie-Jian
Institution:1. Department of Physics, Shangrao Normal College, Shangrao 334001, China ;2. Department of Physics, Ningbo University, Ningbo 315211, China
Abstract:With Hirota's bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges of their physical quantities including energy, velocity and shape except the phase shift.
Keywords:coupled KdV system  Hirota's bilinear method  soliton solutions  interactive property
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