Applications of modified mathematical method on some nonlinear water wave dynamical models

作者：Seadawy, Aly R.; Ali, Asghar; Lu, Dianchen^*

来源：Modern Physics Letters A, 2018, 33(35): 1850204.

DOI：10.1142/S0217732318502048

• Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation
• Korteweg-de Vries Benjamin-Bona-Mahony equation
• breaking soliton
• Maccari system
• Riccati equation
• extended simple equation method
• exact and solitary wave solutions

The extended simple equation method is applied to construct solitary wave solutions of (3 + 1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM), Korteweg-de Vries Benjamin-Bona-Mahony (KdV-BBM), Breaking soliton (BS) and (2 + 1) Maccari system waves system of equations. These models have prevalent usage in modern science. This technique can also be functional to solve different kinds of nonlinear evolution problems in contemporary areas of research. It is an effective and powerful mathematical tool in finding solitary wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics.

• 出版日期2018-11-20
• 单位江苏大学