The quantum solitary wave solutions in a one-dimensional ferromagnetic chain is investigated by using theHartree-Fock approach and the multiple-scale method.It is shown that quantum solitary wave solutions can exist i...The quantum solitary wave solutions in a one-dimensional ferromagnetic chain is investigated by using theHartree-Fock approach and the multiple-scale method.It is shown that quantum solitary wave solutions can exist in aferromagnetic system with nearest-and next-nearest-neighbor exchange interaction,and at the certain value of the firstBrillouin zone,the solitary wave solution of the Hartree wave function becomes the intrinsic localized mode.展开更多
In this paper,we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimension for large data.The main techniques are the Faedo-Galerkin approx...In this paper,we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimension for large data.The main techniques are the Faedo-Galerkin approximation and weak compactness theory.展开更多
基金supported by the Natural Science Foundation of Education Department of Hunan Province under Grant Nos.06C652 and 07C528National Natural Science Foundation of China under Grant No.10647132
文摘The quantum solitary wave solutions in a one-dimensional ferromagnetic chain is investigated by using theHartree-Fock approach and the multiple-scale method.It is shown that quantum solitary wave solutions can exist in aferromagnetic system with nearest-and next-nearest-neighbor exchange interaction,and at the certain value of the firstBrillouin zone,the solitary wave solution of the Hartree wave function becomes the intrinsic localized mode.
文摘In this paper,we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimension for large data.The main techniques are the Faedo-Galerkin approximation and weak compactness theory.
