Abstract
Spatial soliton solutions of a class of generalized nonlinear Schrödinger equations in N-space are discussed analytically and numerically. This achieved using a traveling wave method to formulate one-soliton solution and the P-R method is employed to the numerical solutions and the interactions between the solitons for the generalized nonlinear systems in 2-space. The results presented show that the soliton phenomena are characteristics associated with the nonlinearities of the dynamical systems.
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Supported by the Royal Society, the Natural Science Foundation of China (19872041) and the State Educational Committee of China.
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Tiande, Z., Qingjie, C., Price, G.W. et al. Applications of the P-R scheme for generalized nonlinear Schrödinger equations in solving soliton solutions. Appl. Math. Chin. Univ. 14, 21–29 (1999). https://doi.org/10.1007/s11766-999-0051-9
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DOI: https://doi.org/10.1007/s11766-999-0051-9