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

• Autores: Hong-Wen Shan, Bo Tian, Chong-Dong Cheng, Xiao-Tian Gao, Yu-Qi Chen, Hao-Dong Liu
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº Extra 1, 2024
• Idioma: inglés
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• Resumen

  • 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.