Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2021-04-02 , DOI: 10.1016/j.cnsns.2021.105846 Abdullahi Yusuf , Tukur Abdulkadir Sulaiman
A lump solution is a rational function solution which is real analytic and decays in all directions of space variables. The equation under consideration in this study is the (2 + 1)-dimensional generalized fifth-order KdV equation which demonstrates long wave movements under the gravity field and in a two-dimensional nonlinear lattice in shallow water. The collisions between lump and other analytic solutions is studied in this work. Using Hirota bilinear approach, lump-periodic, breather and two-wave solutions are successfully reported. In order to shade more light on the characteristics of the acqured solutions, numerical simulations have been performed by means of the 3-dimensional and contour profiles under careful choice of the values of the parameters involved.
中文翻译:
重力和二维非线性格子作用下浅水中长波的总周期,呼吸和两波解的动力学
整体解决方案是一种有理函数解决方案,它是真实的分析并且在空间变量的所有方向上都衰减。本研究中考虑的方程是(2 +1)维广义五阶KdV方程,该方程演示了重力场和浅水二维非线性晶格中的长波运动。这项工作研究了块与其他解析解之间的冲突。使用Hirota双线性方法成功地报告了总周期,通气和两波解。为了在所获得的解决方案的特性上提供更多的信息,在仔细选择相关参数的值的情况下,已通过3维和轮廓轮廓进行了数值模拟。