BLP dissipative structures in plane

Details BLP dissipative structures in plane BLP dissipative structures in plane

2005-07-20

arxiv.org/abs/nlin/0507039v1

Phys. Lett. A 262 (1999) 445-452

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, AMS-TeX

Scientific paper

10.1016/S0375-9601(99)00626-X

We study the Darboux and Laplace transformations for the Boiti-Leon-Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In addition, the BLP equations reduced to the Burgers (and anti-Burgers) equation in a one-dimensional limit. Localized nonsingular solutions in both spatial dimensions and (anti) "blow-up" solutions are constructed. The Burgers equation's "dressing" procedure is suggested. This procedure allows us to construct such solutions of the BLP equations which are reduced to the solutions of the dissipative Burgers equations when $t\to \infty$. These solutions we call the BLP dissipative structures.

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