Dirichlet series and the integrability of multilinear differential equations
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Publication:3024321
DOI10.1063/1.1879083zbMath1067.37101OpenAlexW2075860152MaRDI QIDQ3024321
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Publication date: 30 June 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1879083
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dirichlet series, exponential series and other series in one complex variable (30B50) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Cites Work
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- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation
- On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations
- Inverse spectral transform for the Harry Dym equation on the complex plane
- The Harry Dym equation on the complex plane: Inverse spectral transform and exact solutions
- Two-dimensional integrable generalization of the Camassa-Holm equation
- Dirichlet series for quasilinear partial differential equations
- Cusp Soliton of a New Integrable Nonlinear Evolution Equation
- New Integrable Nonlinear Evolution Equations
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Non-isospectral deformations and Darboux transformations for the third-order spectral problem
- The Painlevé property for partial differential equations
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- A numerical and theoretical study of certain nonlinear wave phenomena
- Multicomponent equations associated to non-isospectral scattering problems
- Perturbative symmetry approach
- An integrable shallow water equation with peaked solitons
- Compactons: Solitons with finite wavelength
- On the connection between hyperelliptic separability and Painlevé integrability
- On the Identification of Integrable Equations Using Dirichlet Series
- Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations
- Variational methods and applications to water waves
- The spectral problem and particular solutions to the \((2+1)\)-dimensional integrable generalization of the Camassa-Holm equation
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