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Construction of Multi Solitons for the L 2 Supercritical Double Power Nonlinear Schrodinger Equation
  • Mengxue Bai,
  • chenglin Wang
Mengxue Bai
Southwest Minzu University
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chenglin Wang
Xihua University

Corresponding Author:[email protected]

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Abstract

This paper deals with the double power nonlinear Schrodinger equation in one dimension, which is proposed as a model to describe the Bose-Einstein condensate with mixed state interactions. The equation admits unstable solitons in the L 2 supercritical case. In terms of Cote , Martel and Merle’s argument, multi solitons of the equation are constructed by using unstable solitons in the L 2 supercritical case, which extend Cote , Martel and Merle’s results from the pure power case to the double power nonlinear cases.