Abstract
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, N -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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
