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Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction
nonlinear n-wave Hamiltonians Hierarchy
2011/7/7
In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special Hamiltoni...
A New Integrable Reduction of the Coupled NLS Equation
Multiple Scales Method Coupled nonlinear Klein-Gordon Equation Coupled NLS Equation Spectral Problem Integrable Hamiltonian system
2010/3/4
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We a...