Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator  

作　　者：Rabha W.Ibrahim Chandrashekhar Meshram Samir B.Hadid Shaher Momani 

机构地区：[1]Cloud Computing Center,University Malaya,Malaysia [2]Department of Mathematics and Computer Science,Rani Durgavati University,Jabalpur,India [3]Department of Mathematics and Sciences,College of Humanities and Sciences,Ajman University,Ajman,UAE [4]Department of Mathematics,Faculty of Science,University of Jordan,Amman 11942,Jordan

出　　处：《Journal of Ocean Engineering and Science》2020年第2期186-195,共10页海洋工程与科学（英文）

基　　金：The work here is supported by the University Ajman grant:2019-IRG-HBS-11.

摘　　要：It is well known that there is a deep connection between the symmetric and traveling wave solutions.It has been shown that all symmetric waves are traveling waves.In this paper,we establish new analytic solution collections of nonlinear conformable time-fractional water wave dynamical equation in a complex domain.For this purpose,we construct a new definition of a symmetric conformable differential operator(SCDO).The operator has a symmetric representation in the open unit disk.By using SCDO,we generalize a class of water wave dynamical equation type time-space fractional complex Ginzburg-Landau equation.The results show that the obtainable approaches are powerful,dependable and prepared to apply to all classes of complex differential equations.

关 键 词：Analytic solution Conformable calculus Fractional calculus Water wave equations Majorization Subordination and superordination 

分 类 号：O17[理学—数学]