Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method |
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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.
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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 |
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Authors: | YANG Jian-Rong MAO Jie-Jian |
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Institution: | 1. Department of Physics, Shangrao Normal College, Shangrao 334001, China
;2. Department of Physics, Ningbo University, Ningbo 315211, China |
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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. |
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Keywords: | coupled KdV system Hirota's bilinear method soliton solutions interactive property |
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