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非色散非线性Schrdinger方程的暗孤子解

The dark soliton solution of the nondispersive nonlinear Schrdinger equation
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摘要 非色散非线性Schrdinger方程和它的Lax对被显示给出.借助于谱问题之间的规范变换,孤子解的达布变换得以构造,作为应用给了出非色散非线性Schrdinger方程的显示解. The nondispersive nonlinear Schrodinger equation and its Lax pair are given explicitly. With the help of gauge transformation between spectrum problems, the Darboux transformation of soliton solution is constructed. As an application, the explicit solutions of the nondispersive nonlinear Schrodinger equation are derived.
出处 《河南工程学院学报(自然科学版)》 2015年第4期77-80,共4页 Journal of Henan University of Engineering:Natural Science Edition
基金 国家自然科学基金项目(11301149) 河南省基础前沿项目(132300410310 102300410212)
关键词 达布变换 暗孤子解 非线性Schrtidinger方程 Darboux transformation dark soliton solution nonlinear Sehrodinger equation
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参考文献10

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