Abstract
In this paper, a (3+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation (gKDKK) is investigated. Based on Bell polynomial theory, the bilinear form, Bilinear Bäcklund transformation, Lax pair and infinite conservation laws of the equation are obtained. Lump solution and half periodic kink solution are obtained by combining the test function with bilinear form. Furthermore, with the help of the variable separation method, we obtain some new compound solutions composed of exponential function, trigonometric function, hyperbolic function, rational function and Jacobi elliptic function in various forms. Using computer software to draw the three-dimensional diagram and profile of the solutions, the dynamic properties of the solutions are analyzed.
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.
