浙江师范大学学报（自然科学版）
浙江師範大學學報（自然科學版）
절강사범대학학보（자연과학판）
JOURNAL OF ZHEJIANG NORMAL UNIVERSITY(NATURAL SCIENCES)
2015年
2期
121-128
,共8页
广义耦合非线性薛定谔方程%达布变换%多孤子解%孤子相互作用%高孤子
廣義耦閤非線性薛定諤方程%達佈變換%多孤子解%孤子相互作用%高孤子
엄의우합비선성설정악방정%체포변환%다고자해%고자상호작용%고고자
general coupled nonlinear Schr?dinger equation%Darboux transformations%Multi-solitons solu-tions%interaction solitons%bright soliton
给出了广义耦合非线性薛定谔方程( GCNLS)的2种达布变换和多孤子解。对于自聚焦型GCNLS,给出了N个亮-亮孤子解,对于散焦型的GCNLS,由第2种达布变换给出了N-暗-暗孤子解。作为例子,文中给出了二孤子相互作用。
給齣瞭廣義耦閤非線性薛定諤方程( GCNLS)的2種達佈變換和多孤子解。對于自聚焦型GCNLS,給齣瞭N箇亮-亮孤子解,對于散焦型的GCNLS,由第2種達佈變換給齣瞭N-暗-暗孤子解。作為例子,文中給齣瞭二孤子相互作用。
급출료엄의우합비선성설정악방정( GCNLS)적2충체포변환화다고자해。대우자취초형GCNLS,급출료N개량-량고자해,대우산초형적GCNLS,유제2충체포변환급출료N-암-암고자해。작위례자,문중급출료이고자상호작용。
Multi-solitons solutions of general coupled nonlinear Schr?dinger equation( GCNLS) were obtained by two Darboux transformations( DT) . N-bright-bright solitons for the focusing type of GCNLS were derived by the traditional DT method and N-dark-dark solitons for the defocusing type were presented by the simpler-loo-king DT. The interactions of multi-solitons were also discussed.
