2-Soliton-solution of the Novikov-Veselov equation

Details 2-Soliton-solution of the Novikov-Veselov equation 2-Soliton-solution of the Novikov-Veselov equation

2005-11-10

arxiv.org/abs/nlin/0511019v1

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 1 figure; submitted to IJTP

Scientific paper

10.1007/s10773-006-9151-y

Based on a superposition method recently proposed to obtain 1-solitary wave solutions of the KdV-Burgers equation \cite{Yua2005}, we show that this method can also be used to find a 2-solitary wave solution of the Novikov-Veselov equation. Thus, it seems that the method of Yuanxi and Jiashi in general is not restricted to constructing 1-solitary wave solutions of nonlinear wave and evolution equations (NLWEEs).

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