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New double Wronskian solutions of the AKNS equation

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【Author】 CHEN DenYuan~+, ZHANG DaJun & BI JinBo Department of Mathematics, Shanghai University, Shanghai 200444, China

【摘要】 <正>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 Schrodinger equation are obtained by reduction.

【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 Schrodinger equation are obtained by reduction.

【关键词】 AKNS equation； the Wronskian technique； double Wronski determinant；
【Key words】 AKNS equation； the Wronskian technique； double Wronski determinant；
【基金】 This work was supported by the National Natural Science Foundation of China (Grant No. 10371070, 10671121)
  • 【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2008年01期
  • 【分类号】O175.2
  • 【被引频次】19
  • 【下载频次】72
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