Bell Polynomial Approach to Associated Camassa–Holm Equation

Based on the theory of Bell polynomials, the bilinear form is obtained for the associated Camassa–Holm equation, and the bilinear Bäcklund transformations and Lax pair are derived by virtue of the Bell polynomial technology. At the same time, an infinite number of conservation laws of associated Camassa–Holm equation are constructed, and conserved densities and fluxes are given with explicit recursion formulae.