Periodic Waves and Periodic Solitons and Their Interactions for a (2+1)-Dimensional KdV Equation(Condensed Matter and Statistical Physics)

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概要

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• An exact periodic wave solution, which represents the interaction between the waves with different speeds, is first given by the rational function of the Jacobi elliptic functions with different moduli for a (2+1)-dimensional KdV equation. Under different limit conditions, some new types of solitary structures called periodic solitons are then revealed. The interaction properties between periodic waves and between periodic solitons are studied numerically and found to be nonelastic. But a long wave limit yields a two-dromion solution, and the interaction between these two dromions is completely elastic, which denies the general conclusion stated in previous literature.

• 理論物理学刊行会の論文
• 2005-05-25

著者

• Peng Yan

  Department Of Mathematics Huazhong University Of Science And Technology

関連論文

• Exact Periodic and New Solitary Wave Solutions to the Generalization of Integrable (2+1)-dimensional Dispersive Long Wave Equations(General)
• Periodic Waves and Periodic Solitons and Their Interactions for a (2+1)-Dimensional KdV Equation(Condensed Matter and Statistical Physics)

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