Application of Dressing Method for Long Wave-Short Wave Resonance Interaction Equation

Details Application of Dressing Method for Long Wave-Short Wave Resonance Interaction Equation Application of Dressing Method for Long Wave-Short Wave Resonance Interaction Equation

2006-12-18

arxiv.org/abs/nlin/0612041v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

10.1063/1.2719562

In this paper we investigate the application of Zakharov - Shabat dressing method to (2+1) - dimensional long wave - short wave resonance interaction equation (LSRI). Using this method we can construct the exact N - soliton solution of this equation depending on arbitrary constants. It contains both solutions which don't decay along N different directions in space infinity, and "dromion" ones, or localized solutions that decay exponentially in all directions.

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