With the help of the extended binary Bell polynomials, the new bilinear representations, Bäcklund transformations, Lax pair and infinite conservation laws for two types of variable-coefficient nonlinear integrable equations are obtained, respectively, which are more straightforward than previous corresponding results obtained. Finally, we obtain new multi-soliton wave solutions of a reduced soliton equations with variable coefficients.
Scopus Subject Areas
- Physics and Astronomy (miscellaneous)
- Bäcklund transformation
- Bell polynomials
- conservation laws