Novel nonlinear wave transitions and interactions for(2+1)-dimensional generalized fifth-order Kd V equation  

作　　者：Yan Li Ruoxia Yao Senyue Lou 

机构地区：[1]School of Computer Science,Shaanxi Normal University,Xi’an,Shaanxi 710119,China [2]School of Physical Science and Technology,Ningbo University,Ningbo,Zhejiang 315211,China

出　　处：《Communications in Theoretical Physics》2024年第12期24-33,共10页理论物理通讯(英文版)

基　　金：provided by the National Natural Science Foundation of China (Grant No. 12271324);the Natural Science Basic Research Program of Shaanxi Province (Grant No. 2024JC-YBQN-0069);the China Postdoctoral Science Foundation (Grant No. 2024M751921);the 2023 Shaanxi Province Postdoctoral Research Project (Grant No.2023BSHEDZZ186);the Fundamental Research Funds for the Central Universities (Grant No. 1301032598)。

摘　　要：The(2 + 1)-dimensional generalized fifth-order Kd V(2GKd V) equation is revisited via combined physical and mathematical methods. By using the Hirota perturbation expansion technique and via setting the nonzero background wave on the multiple soliton solution of the 2GKd V equation, breather waves are constructed, for which some transformed wave conditions are considered that yield abundant novel nonlinear waves including X/Y-Shaped(XS/YS),asymmetric M-Shaped(MS), W-Shaped(WS), Space-Curved(SC) and Oscillation M-Shaped(OMS) solitons. Furthermore, distinct nonlinear wave molecules and interactional structures involving the asymmetric MS, WS, XS/YS, SC solitons, and breathers, lumps are constructed after considering the corresponding existence conditions. The dynamical properties of the nonlinear molecular waves and interactional structures are revealed via analyzing the trajectory equations along with the change of the phase shifts.

关 键 词：(2+1)-dimensional generalized fifth-order KdV equation nonlinear molecular wave resonance soliton 

分 类 号：O411[理学—理论物理]