Conservation laws and Darboux transformation for the coupled cubic–quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics
作者： Feng-Hua Qi , Hong-Mei Ju , Xiang-Hua Meng , Juan Li
DOI: 10.1007/S11071-014-1382-5
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摘要: In this paper, by Darboux transformation and symbolic computation we investigate the coupled cubic–quintic nonlinear Schrodinger equations with variable coefficients, which come from twin-core optical fibers waveguides, describing effects of quintic nonlinearity on ultrashort pulse propagation in non-Kerr media. Lax pair is obtained, corresponding constructed. One-soliton solutions are derived; some physical quantities such as amplitude, velocity, width, initial phases, energy are, respectively, analyzed; finally an infinite number conservation laws also derived. These results might be value for
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