Darboux transformation and two-dimensional Toda lattice
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Publication:1053182
DOI10.1007/BF01084172zbMath0517.35073MaRDI QIDQ1053182
Publication date: 1983
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)
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Cites Work
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- Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
- Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I
- On a direct method of constructing multi-soliton solutions
- Differential-difference evolution equations. II: Darboux transformation for the Toda lattice
- Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
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