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2-Soliton-Solution of the Novikov-Veselov Equation
Authors:J Nickel  H W Schürmann
Institution:(1) Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany
Abstract:Based on a superposition method recently proposed to obtain 1-solitary wave solutions of the KdV-Burgers equation (Yuanxi and Jiashi, 2005, International Journal of Theoretical Physics 44, 293–301), 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).
Keywords:linear superposition  solitary wave solution  Novikov-Veselov equation
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