Resumen de 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

Hong-Wen Shan, Bo Tian, Chong-Dong Cheng, Xiao-Tian Gao, Yu-Qi Chen, Hao-Dong Liu

• 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 G2 )-expansion method.