Darboux transformation and soliton solutions for Boussinesq-Burgers equation. (English) Zbl 1088.35527

Chen, Aihua; Li, Xuemei

Chaos Solitons Fractals 27, No. 1, 43-49 (2006).

Summary: We present a new Darboux transformation with multi-parameters for the Boussinesq-Burgers equation \[ u_t=-2uu_x+ \tfrac12 v_x, \qquad v_t= \tfrac12 u_{xxx}- 2(uv)_x \] and obtain new soliton solutions.

MSC:

35Q35	PDEs in connection with fluid mechanics
37K35	Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q51	Soliton equations

Keywords:

Darboux transformation; soliton solutions

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