Exact Periodic and New Solitary Wave Solutions to the Generalization of Integrable (2+1)-dimensional Dispersive Long Wave Equations(General)

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概要

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• A general solution involving three arbitrary functions is first obtained for the generalization of integrable (2+1)-dimensional dispersive long wave equations by means of WTC truncation method. Exact periodic wave solutions are then expressed as rational functions of the Jacobi elliptic functions. For the first time the interaction of Jacobi elliptic waves is studied and found to be nonelastic! Limit cases are studied and some interesting, new solitary structures are revealed. The interactions of between two dromions, between dromion and solitoff and between y-periodic solitons are all nonelastic, and x-periodic solitons can propagate steadily. It is shown that the Jacobi elliptic wave solutions can be viewed as the generalization of dromion, dromion-solitoff and periodic solitons.

• 社団法人日本物理学会の論文
• 2005-01-15

著者

• Peng Yan

  Department Of Mathematics Huazhong University Of Science And Technology

• Peng Yan-ze

  Department Of Mathematics Huazhong University Of Science And Technology

• 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)
• New Exact Solutions to a New Hamiltonian Amplitude Equation. II (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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