A clarified study on the G-complete symmetry Banach algebra is given. A Wiener type Banach algebra as well as its stucture is introduced and studied. An application of this algebra is presented.
By modifying the procedure of binary nonlinearization for the AKNS spectral problem and its adjoint spectral problem under an implicit symmetry constraint, we obtain a finite dimensional system from the Lax pair of th...By modifying the procedure of binary nonlinearization for the AKNS spectral problem and its adjoint spectral problem under an implicit symmetry constraint, we obtain a finite dimensional system from the Lax pair of the nonlinear Schrodinger equation. We show that this system is a completely integrable Hamiltonian system.展开更多
基金This work wassupported by the National Natural Science Foundation of China (Grant Nos. 19631070 & 10171019), Natural Science Foundation of Hunan Province, China (Grant No. OOTJJY2001) and National Science Foundation of Zhejiang Province, China (Grant N
文摘A clarified study on the G-complete symmetry Banach algebra is given. A Wiener type Banach algebra as well as its stucture is introduced and studied. An application of this algebra is presented.
基金Supported by the National Natural Science Foundation of China(No.11001069,61273077,11271210 and 10971109)Program for NCET under Grant No.NCET-08-0515Zhejiang Provincial Natural Science Foun-dation of China under Grant No.LQ12A01002 and LQ12A01003
文摘By modifying the procedure of binary nonlinearization for the AKNS spectral problem and its adjoint spectral problem under an implicit symmetry constraint, we obtain a finite dimensional system from the Lax pair of the nonlinear Schrodinger equation. We show that this system is a completely integrable Hamiltonian system.
