Second harmonic generation: Hamiltonian structures and particular solutions
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Publication:4701616
DOI10.1063/1.532465zbMath0927.37035OpenAlexW1974156910MaRDI QIDQ4701616
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Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532465
elliptic functionsKdV hierarchystationary pointsHamiltonian structuressecond harmonic generationPainlevé III
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Cites Work
- Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
- Periodic solutions generated by Bäcklund transformations
- Coupled KdV equations with multi-Hamiltonian structures
- Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem
- Bäcklund autotransformation for the equation \(u_{xt}=e^ u-e^{-2u}\)
- A hierarchy of coupled Korteweg-de Vries equations and the normalisation conditions of the Hilbert-Riemann problem
- Group analysis of the three-wave resonant system in (2+1) dimensions
- Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
- Simple Harmonic Generation: an Exact Method of Solution
- On similarity reductions of the three-wave resonant system to the Painleve equations
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