By using a Baecklund transformation and the multi-linear variable separationapproach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinearSchroedinger system. The new 'universal...By using a Baecklund transformation and the multi-linear variable separationapproach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinearSchroedinger system. The new 'universal' formula is defined, and then, rich coherent structures canbe found by selecting corresponding functions appropriately.展开更多
A direct approach in the study of soliton perturbations has been developed, based on the method of separation of variables in our previous papers . In this paper we use it to deal with the nonlinear Schrioedinger equa...A direct approach in the study of soliton perturbations has been developed, based on the method of separation of variables in our previous papers . In this paper we use it to deal with the nonlinear Schrioedinger equation under the action of perturbations. Our results differ from those obtained in previous work.展开更多
In this paper we study the existence of global solutions to the Cauchy problem of nonlinear SchrSdinger equation by establishing time weight function spaces and using the contraction mapping principle.
In this paper, the local well posedness and global well posedness of solutions for the initial value problem (IVP) of nonlinear Schroedinger-Boussinesq equations is considered in H^3(R^d) by resorting Besov spaces, wh...In this paper, the local well posedness and global well posedness of solutions for the initial value problem (IVP) of nonlinear Schroedinger-Boussinesq equations is considered in H^3(R^d) by resorting Besov spaces, where real number s≥0.展开更多
文摘By using a Baecklund transformation and the multi-linear variable separationapproach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinearSchroedinger system. The new 'universal' formula is defined, and then, rich coherent structures canbe found by selecting corresponding functions appropriately.
文摘A direct approach in the study of soliton perturbations has been developed, based on the method of separation of variables in our previous papers . In this paper we use it to deal with the nonlinear Schrioedinger equation under the action of perturbations. Our results differ from those obtained in previous work.
文摘In this paper we study the existence of global solutions to the Cauchy problem of nonlinear SchrSdinger equation by establishing time weight function spaces and using the contraction mapping principle.
文摘In this paper, the local well posedness and global well posedness of solutions for the initial value problem (IVP) of nonlinear Schroedinger-Boussinesq equations is considered in H^3(R^d) by resorting Besov spaces, where real number s≥0.
