Abstract
The quasi-periodic solutions of mixed KdV equations are constructed. To derive the solutions, we introduce the mixed finite-dimensional integrable Hamiltonian systems (FDIHS), which are linearized on the Jacobi variety of the associated hyperelliptic curve. A relation between the FDIHS and the mixed KdV equations is revealed. Based on this relation, we construct the quasi-periodic solutions for the mixed KdV equations with aid of the Riemann theta function. The quasi-periodic solutions for the KdV6 equation and the negative order KdV equation are obtained as special members of the mixed KdV equations.
Full Text
Published Version
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 call