Darboux Transformation and Soliton-like Solutions for a Generalized q-KdV Hierarchy(General)

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概要

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• By introducing a q-deformed spectral problem, we derive a new generalized q-KdV hierarchy with variable coefficients. Darboux matrix technique is further extended to construct an explicit and universal Darboux transformation for the q-KdV hierarchy. It is found that the Darboux transformation admits a theorem of permutability theorem and a superposition formula. In particular, the soliton-like solutions whose speeds may depend on time variable t are obtained by applying the Darboux transformation and superposition formula.

• 社団法人日本物理学会の論文
• 2004-11-15

著者

• Fan E

  Fudan Univ. Shanghai Chn

• FAN Engui

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