Xiao-Tian Gao, Bo Tian, Tian-Yu Zhou, Yuan Shen, Chun-Hui Feng
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引用次数: 0
Abstract
Fluid dynamics cooperating with nonlinear science could describe many natural phenomena, e.g., the Boussinesq-Burgers-type equations for the shallow water waves. In this paper, as for the shallow water waves in a lake or near an ocean beach, we study a Boussinesq-Burgers system. Via the Hirota method and symbolic computation, we derive two sets of the bilinear forms, namely, transforming that Boussinesq-Burgers system into two sets of the bilinear form equations. Besides, we also create a set of the similarity reductions for that Boussinesq-Burgers system via the Clarkson-Kruskal direct method, simplifying that Boussinesq-Burgers system to a solvable ordinary differential equation. Our results rely on the variable coefficient in that Boussinesq-Burgers system. We hope that our results could be of some use for the future water-wave studies.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.