Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.
Hamiltonian structure and new exact soliton solutions of some Korteweg--de Vries equations.
Hermite pseudospectral method for nonlinear partial differential equations
Hermite pseudospectral method for nonlinear partial differential equations
Hermite polynomial interpolation is investigated. Some approximation results are obtained. As an example, the Burgers equation on the whole line is considered. The stability and the convergence of proposed Hermite pseudospectral scheme are proved strictly. Numerical results are presented.
Higher-order equations of the KdV type are integrable.
Higher-order KdV-type equations and their stability.
Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order