Folded novel accurate analytical and semi-analytical solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation  

作　　者：Mostafa M A Khater S K Elagan M A El-Shorbagy S H Alfalqi J F Alzaidi Nawal A Alshehri 

机构地区：[1]Department of Mathematics,Faculty of Science,Jiangsu University,212013,Zhenjiang,China [2]Department of Mathematics,Obour High Institute For Engineering and Technology,11828,Cairo,Egypt [3]Department of Mathematics,Faculty of Science,Taif University P.O.Box 11099,Taif 21944,Saudi Arabia [4]Department of Mathematics,College of Science and Humanities in Al-Kharj,Prince Sattam bin Abdulaziz University,Al-Kharj 11942,Saudi Arabia [5]Department of Basic Engineering Science,Faculty of Engineering,Menoufia University,Shebin El-Kom 32511,Egypt [6]Department of Mathematics,Faculty of Science and Arts,Mahayil Asir King Khalid University,Abha,Saudi Arabia

出　　处：《Communications in Theoretical Physics》2021年第9期26-36,共11页理论物理通讯（英文版）

基　　金：supported by Taif University Researchers Supporting Project Number(TURSP-2020/247);funding this work through research group under grant number(RGP.2/121/42)。

摘　　要：This paper studies the analytical and semi-analytic solutions of the generalized Calogero–Bogoyavlenskii–Schiff(CBS)equation.This model describes the(2+1)–dimensional interaction between Riemann-wave propagation along the y-axis and the x-axis wave.The extended simplest equation(ESE)method is applied to the model,and a variety of novel solitarywave solutions is given.These solitary-wave solutions prove the dynamic behavior of soliton waves in plasma.The accuracy of the obtained solution is verified using a variational iteration(VI)semi-analytical scheme.The analysis and the match between the constructed analytical solution and the semi-analytical solution are sketched using various diagrams to show the accuracy of the solution we obtained.The adopted scheme’s performance shows the effectiveness of the method and its ability to be applied to various nonlinear evolution equations.

关 键 词：generalized Calogero-Bogoyavlenskii-Schiff equation accurate analytical semianalytical solutions 

分 类 号：O175[理学—数学]