Journal
WAVES IN RANDOM AND COMPLEX MEDIA
Volume 27, Issue 2, Pages 255-264Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17455030.2016.1221163
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Funding
- National Natural Science Foundation of China [11272023]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications)
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Under investigation in this paper is a variable-coefficient generalized Boussinesq system, which describes the propagation of long weakly non-linear and weakly dispersive surface waves in the shallow water. Bilinear form, Backlund transformation and Lax pair are derived by virtue of the Bell polynomials. One- and two-soliton solutions are constructed via the Hirota method. Propagation characteristics and collision behaviors of the solitons are discussed through the graphical analysis. Elastic collisions of the two bell-and periodic-shaped solitons are obtained. Head-on collision between the two solitons occurs when the sign of the two wave numbers are different; Otherwise, the overtaking collision happens.
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