A New Algebraic Method for Finding a Series of Travelling Wave Solution to a Coupled Ito System(General)

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概要

• 論文の詳細を見る

• In this paper a new algebraic method is devised to uniformly construct a series of travelling wave solutions for a coupled Ito system. The obtained solutions include (a) kink-shaped and bell-shaped soliton solutions, (b) rational solutions, (c) triangular periodic solutions, (d) Jacobi and Weierstrass doubly periodic wave solutions. Among them, the Jacobi elliptic doubly periodic wave solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with most existing tanh methods, the proposed method gives more general exact solutions without much extra effort. More importantly, the method provides a guideline for the classification of the solutions based on the given parameters.

• 社団法人日本物理学会の論文
• 2002-11-15

著者

• FAN Engui

  Institute of Mathematics and Key Lab for Nonlinear Mathematical Models and Methods, Fudan University

• Fan Engui

  Institute Of Mathematics And Laboratory Of Mathematics For Nonlinear Science Fudan University

関連論文

• Darboux Transformation and Soliton-like Solutions for a Generalized q-KdV Hierarchy(General)
• A New Algebraic Method for Finding a Series of Travelling Wave Solution to a Coupled Ito System(General)
• Darboux Transformation and Soliton-like Solutions for a Generalized q-KdV Hierarchy(General)

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