A novel approach to study generalized coupled cubic Schrödinger-Korteweg-de Vries equations  

作　　者：Lanre Akinyemi P.Veeresha M.T.Darvishi Hadi Rezazadeh Mehmet Senol Udoh Akpan 

机构地区：[1]Department of Mathematics,Lafayette College,Easton,PA,USA [2]Department of Mathematics,Christ Deemed to be University,Bengaluru 560029,India [3]Department of Mathematics,Razi University,Kermanshah 67149,Iran [4]Faculty of Engineering Technology,Amol University of Special Modern Technologies,Amol,Iran [5]Department of Mathematics,Nev¸s ehir HacıBekta¸s Veli University,Nev¸s ehir,Turkey [6]Drexel University,Department of Mathematics,Philadelphia,PA,USA

出　　处：《Journal of Ocean Engineering and Science》2024年第1期13-24,共12页海洋工程与科学（英文）

摘　　要：The Kortewegde Vries(KdV)equation represents the propagation of long waves in dispersive media,whereas the cubic nonlinear Schrödinger(CNLS)equation depicts the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves.A model that couples these two equations seems in-triguing for simulating the interaction of long and short waves,which is important in many domains of applied sciences and engineering,and such a system has been investigated in recent decades.This work uses a modified Sardar sub-equation procedure to secure the soliton-type solutions of the generalized cubic nonlinear Schrödinger-Korteweg-de Vries system of equations.For various selections of arbitrary parameters in these solutions,the dynamic properties of some acquired solutions are represented graph-ically and analyzed.In particular,the dynamics of the bright solitons,dark solitons,mixed bright-dark solitons,W-shaped solitons,M-shaped solitons,periodic waves,and other soliton-type solutions.Our re-sults demonstrated that the proposed technique is highly efficient and effective for the aforementioned problems,as well as other nonlinear problems that may arise in the fields of mathematical physics and engineering.

关 键 词：CNLS equation Modified Sardar sub-equation method KdV equation SOLITONS Long and short waves 

分 类 号：O17[理学—数学]