Binary Nonlinearization of the Nonlinear SchrSdinger Equation Under an Implicit Symmetry Constraint
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 integrab...
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| Published in: | 应用数学学报：英文版 no. 2; pp. 379 - 388 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | an implicit symmetry constraint; binary nonlinearization; AKNS system;completely integrable Hamiltonian system 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. 11-2041/O1 |
| ISSN: | 0168-9673 1618-3932 |