Physics, mathematics, and technology

2012 Issue №4

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Nonlinear dissipative structures as model of two-dimensional optic solitons

Pages
14-20

Abstract

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 equation in a one-dimensional limit. Localized nonsingular solutions in both spatial dimensions and anti ”blow-up” solutions are constructed.

Reference

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