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New double Wronskian solutions of the AKNS equation

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Abstract

Soliton solutions, rational solutions, Matveev solutions, complexitons and interaction solutions of the AKNS equation are derived through a matrix method for constructing double Wronskian entries. The latter three solutions are novel. Moreover, rational solutions of the nonlinear Schrödinger equation are obtained by reduction.

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Correspondence to Chen DenYuan.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 10371070, 10671121)

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Chen, D., Zhang, D. & Bi, J. New double Wronskian solutions of the AKNS equation. Sci. China Ser. A-Math. 51, 55–69 (2008). https://doi.org/10.1007/s11425-007-0165-6

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  • DOI: https://doi.org/10.1007/s11425-007-0165-6

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