On the Integrabilities for Some New Nonlinear Models Related to the Schrödinger Equation |
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| Authors: | Wei-Zhong CHEN |
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| 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 |
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| 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. |
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