×

Exact solutions of the fifth-order nonlinear evolution equation. (English) Zbl 1006.35092

Summary: The paper suggests an equation to model a wave process in nonlinear deformable systems with moment stresses. The Bäcklund transformation, which helps to obtain an exact kink-antikink and soliton as solutions, is found for this equation.

MSC:

35Q72 Other PDE from mechanics (MSC2000)
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q53 KdV equations (Korteweg-de Vries equations)
35C10 Series solutions to PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
PDF BibTeX XML Cite
Full Text: DOI