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2-Soliton-solution of the Novikov-Veselov equation

J. Nickel, H. W. Schuermann

nlin.PSarXiv:nlin/0511019

Abstract

Based on a superposition method recently proposed to obtain 1-solitary wave solutions of the KdV-Burgers equation 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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