Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity

作     者：Mostafa M.A.Khater SamirA.Salama Mostafa M.A.Khater;Samir A.Salama

作者机构：Department of MathematicsFaculty of ScienceJiangsu UniversityZhenjiang 212013China Department of MathematicsObour High Institute For Engineering and TechnologyCairo 11828Egypt Division of BiochemistryDepartment of PharmacologyCollege of PharmacyTaif UniversityP.O.Box 11099Taif 21944Saudi Arabia 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2022年第7卷第3期

页      面：237-243页

核心收录：

学科分类：07[理学] 0824[工学-船舶与海洋工程] 0701[理学-数学] 

基　　金：We greatly thank Taif University for providing fund for this work through Taif University Researchers Supporting Project num-ber(TURSP-2020/52) Taif University,Taif,Saudi Arabia. 

主　　题：Ill-posed Boussinesq dynamical wave Analytical and semi-analytical simulations 

摘      要：This article studies novel soliton wave solutions of the nonlinear fractional ill-posed Boussinesq(NLFIPB)dynamic wave equation by applying the extended Riccati-expansion(ERE)method.Jacques Hadamard has formulated the investigated model to figure out the dynamic characterizations of waves in shallow water under gravity.The obtained solutions are explained through some sketches in 2D and 3D and contour plots.At the same time,the results’accuracy is checked by comparing the obtained solutions with semianalytical solutions through the well-known Adomian decomposition(AD)method.The superiority of the ERE method over the original method is explained.All constructed solutions are checked by submitting them back into the original model through Mathematica 12 software.