Water wave solutions of the coupled system Zakharov-Kuznetsov and generalized coupled KdV equations.
An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method. The traveling wave solutions for each generalized coupled system of ZK and KdV equations are shown in form of periodic, dark, and bright solitary wave solutions. The structures of the obtained solutions are distinct and stable.
Mathematics Department, Faculty of Science, Taibah University, Al-Ula 41921-259, Saudi Arabia ; Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.
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Seadawy
Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt ; Mathematics Department, College of Arts and Science, Taif University, Ranyah, Saudi Arabia.
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El-Rashidy
D000465:Algorithms; D003198:Computer Simulation; D017711:Nonlinear Dynamics; D013016:Sound; D014867:Water / Q000737:chemistry
D014867:Water