Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids
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- 关键词：Fluids ; Nonisospectral and variable-coefficient fifth-order Korteweg&ndash ; de Vries equation ; Bell polynomials ; Hirota method ; N-soliton solutions ; Bä ; cklund transformation ; Lax pair ; Periodic waves ; Breathers
- 刊名：Applied Mathematics Letters
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：65
- 期：Complete
- 页码：48-55
- 全文大小：684 K
- 卷排序：65
文摘
Under investigation in this paper is a nonisospectral and variable-coefficient fifth-order Korteweg–de Vries equation in fluids. By virtue of the Bell polynomials and symbolic computation, the bilinear form, Bäcklund transformation and Lax pair are obtained. Based on its bilinear form, NN-soliton solutions are constructed. Furthermore, periodic wave and breather wave solutions are obtained by virtue of the Riemann theta function and homoclinic test approach, respectively. In addition, the characteristic-line method is applied to discuss the features of the solitons for the nonisospectral problem, such as the amplitude, velocity and width of the solitary wave.