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On the Integrabilities for Some New Nonlinear Models Related to the Schrödinger Equation
Authors:Wei-Zhong CHEN
Institution:1. Institute of Acoustics and Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China; 2. Institute of Modern Physics, Ningbo Normal College, Ningbo 315211, China
Abstract:The integrabilities for some new nonlinear evolution equations, ut = (Ψn)x, where Ψ satisfiesthe Schrödinger equation, Ψxx + uΨ = λΨ with λ being constant, arestudied by Painleve testin both the cases of positive and negative resonances for some suitable n, say, n = -4, -1,2and 4.
Keywords:
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