Dynamics of some new solutions to the coupled DSW equations traveling horizontally on the seabed  

作　　者：Raj Kumar Ravi Shankar Verma 

机构地区：[1]Department of Mathematics,Faculty of Engineering&Technology,Veer Bahadur Singh Purvanchal University,Jaunpur 222003,India

出　　处：《Journal of Ocean Engineering and Science》2024年第2期154-163,共10页海洋工程与科学（英文）

摘　　要：The system of(1+1)-coupled Drinfel’d-Sokolov-Wilson equations describes the surface gravity waves travelling horizontally on the seabed.The objective of the present research is to construct a new variety of analytical solutions for the system.The invariants are derived with the aid of Killing form by using the optimal algebra classification via Lie symmetry approach.The invariant solutions involve time,space variables,and arbitrary constants.Imposing adequate constraints on arbitrary constants,solutions are represented graphically to make them more applicable in designing sea models.The behavior of solutions shows asymptotic,bell-shaped,bright and dark soliton,bright soliton,parabolic,bright and kink,kink,and periodic nature.The constructed results are novel as the reported results[26,28,29,30,33,38,42,49]can be deduced from the results derived in this study.The remaining solutions derived in this study,are absolutely different from the earlier findings.In this study,the physical character of analytical solutions of the system could aid coastal engineers in creating models of beaches and ports.

关 键 词：Coupled Drinfel’d-Sokolov-Wilson model INVARIANTS Killing form Optimal sub algebra Lie symmetry reductions 

分 类 号：O17[理学—数学]