Nondegenerate solitons of the(2+1)-dimensional coupled nonlinear Schrodinger equations with variable coefficients in nonlinear optical fibers  

作　　者：杨薇 程雪苹 金桂鸣 王佳楠 Wei Yang;Xueping Cheng;Guiming Jin;and Jianan Wang(School of Information Engineering,Zhejiang Ocean University,Zhoushan 316022,China;School of Science,Zhejiang University of Science and Technology,Hangzhou 310023,China)

机构地区：[1]School of Information Engineering,Zhejiang Ocean University,Zhoushan 316022,China [2]School of Science,Zhejiang University of Science and Technology,Hangzhou 310023,China

出　　处：《Chinese Physics B》2023年第12期170-178,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.11975204 and 12075208);the Project of Zhoushan City Science and Technology Bureau (Grant No.2021C21015);the Training Program for Leading Talents in Universities of Zhejiang Province。

摘　　要：We derive the multi-hump nondegenerate solitons for the(2+1)-dimensional coupled nonlinear Schrodinger equations with propagation distance dependent diffraction,nonlinearity and gain(loss)using the developing Hirota bilinear method,and analyze the dynamical behaviors of these nondegenerate solitons.The results show that the shapes of the nondegenerate solitons are controllable by selecting different wave numbers,varying diffraction and nonlinearity parameters.In addition,when all the variable coefficients are chosen to be constant,the solutions obtained in this study reduce to the shape-preserving nondegenerate solitons.Finally,it is found that the nondegenerate two-soliton solutions can be bounded to form a double-hump two-soliton molecule after making the velocity of one double-hump soliton resonate with that of the other one.

关 键 词：nondegenerate solitons variable coefficients coupled nonlinear Schr?dinger equations Hirota bilinear method 

分 类 号：O175.29[理学—数学] TN253[理学—基础数学]