Instead of the usual Hirota ansatz,i.e.,the functions in bilinear equations being chosen as exponentialtypes,a generalized Hirota ansatz is proposed for a (3+1)-dimensional nonlinear evolution equation.Based on theres...Instead of the usual Hirota ansatz,i.e.,the functions in bilinear equations being chosen as exponentialtypes,a generalized Hirota ansatz is proposed for a (3+1)-dimensional nonlinear evolution equation.Based on theresulting generalized Hirota ansatz,a family of new explicit solutions for the equation are derived.展开更多
The second reference state of the open XYZ spin chain with non-diagonal boundary terms is studied. The associated Bethe states exactly yield the second set of eigenvalues proposed recently by functional Bethe Ansatz.
This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensionalVT-symmetric coupled quintic potential in its most general form.Employing wavefunction ansatz method,generalanalyt...This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensionalVT-symmetric coupled quintic potential in its most general form.Employing wavefunction ansatz method,generalanalytic expressions for eigenvalues and eigenfunctions for first four states are obtained.Solutions of a particular caseare also presented.展开更多
文摘Instead of the usual Hirota ansatz,i.e.,the functions in bilinear equations being chosen as exponentialtypes,a generalized Hirota ansatz is proposed for a (3+1)-dimensional nonlinear evolution equation.Based on theresulting generalized Hirota ansatz,a family of new explicit solutions for the equation are derived.
基金Supports by the National Natural Science Foundation of China under Grant Nos. 11075125 and 11031005
文摘The second reference state of the open XYZ spin chain with non-diagonal boundary terms is studied. The associated Bethe states exactly yield the second set of eigenvalues proposed recently by functional Bethe Ansatz.
文摘This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensionalVT-symmetric coupled quintic potential in its most general form.Employing wavefunction ansatz method,generalanalytic expressions for eigenvalues and eigenfunctions for first four states are obtained.Solutions of a particular caseare also presented.
