N-Soliton and Other Analytic Solutions for a (3+1)-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients for the Shallow Water Waves.

Autor: Shan, Hong-Wen, Tian, Bo, Cheng, Chong-Dong, Gao, Xiao-Tian, Chen, Yu-Qi, Liu, Hao-Dong
Zdroj: Qualitative Theory of Dynamical Systems; 2024 Suppl 1, Vol. 23, p1-13, 13p
Abstrakt: Shallow water waves are seen in magnetohydrodynamics, atmospheric science, oceanography and so on. In this article, we study a ( 3 + 1 )-dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equation with the time-dependent coefficients for the shallow water waves. N-soliton solutions are obtained via the simplified Hirota method. Via the N-soliton solutions, we present the elastic interactions between the two solitons and among the three solitons. Some other analytic solutions are constructed through the tanh method and (G ′ G 2) -expansion method. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: