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Xing Lü Hong-Wu Zhu Zhen-Zhi Yao Xiang-Hua Meng Cheng Zhang Chun-Yi Zhang Bo Tian 《Annals of Physics》2008,323(8):1947-1955
In this paper, the multisoliton solutions in terms of double Wronskian determinant are presented for a generalized variable-coefficient nonlinear Schrödinger equation, which appears in space and laboratory plasmas, arterial mechanics, fluid dynamics, optical communications and so on. By means of the particularly nice properties of Wronskian determinant, the solutions are testified through direct substitution into the bilinear equations. Furthermore, it can be proved that the bilinear Bäcklund transformation transforms between (N − 1)- and N-soliton solutions. 相似文献