§ I. Introduction In this paper we are looking for solutions of the following Hamiltonian system of second order: where x= (x<sub>1</sub>, x<sub>2</sub>) and
In this note, the necessary condition for short range soliton solution of generalized Koteweg de Vries (GKdV) equation is found out and proved by means of the P
Let us consider the following elliptic systems of second order-D<sub>α</sub>(A<sub>i</sub><sup>α</sup>(x, u, Du))=B<sub>4</sub>(x, u, Du), i=1, …, N, x∈Q(?)R<sup>n<
In the studies of nonlinear partial differential equations, the influence, from the singularities of coefficients to the singularities of solution, is a field t