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On a system of differential equations admitting a representation of zero curvature
Russian Mathematical Surveys, 1990On a differentiable manifold \(V^ n\) with local coordinates \(u^{\alpha}\) \((\alpha,\beta,\gamma =1,...,n)\) the author considers a linear connection with coefficients \(\Gamma^{\alpha}_{\beta \gamma}\) and a system of differential equations of the form \[ A)\quad u_{xy}^{\alpha}+\Gamma^{\alpha}_{\beta \gamma}u_ x^{\beta}u_ y^{\gamma}=0.
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Adiabatic approximation via hodograph translation and zero-curvature equations
Russian Journal of Mathematical Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Communications in Theoretical Physics, 2017
Abstract In this paper, based on a discrete spectral problem and the corresponding zero curvature representation, the isospectral and nonisospectral lattice hierarchies are proposed. An algebraic structure of discrete zero curvature equations is then established for such integrable systems.
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Abstract In this paper, based on a discrete spectral problem and the corresponding zero curvature representation, the isospectral and nonisospectral lattice hierarchies are proposed. An algebraic structure of discrete zero curvature equations is then established for such integrable systems.
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FROM SOLITON EQUATIONS TO THEIR ZERO CURVATURE FORMULATION
2007F. Lambert, J. Springael
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Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2019
Shintaro Akamine, Rahul Kumar Singh
exaly
Shintaro Akamine, Rahul Kumar Singh
exaly