A 4 × 4 Matrix Spectral Problem Involving Four Potentials and Its Combined Integrable Hierarchy
AxiomsThis paper introduces a specific matrix spectral problem involving four potentials and derives an associated soliton hierarchy using the zero-curvature formulation.
Wen-Xiu Ma, Ya-Dong Zhong
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Symmetry reductions of a Lax pair [PDF]
Physics Letters A, 2005 P.G. Estévez, M.L. Gandarias, J. Prada
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Lax pairs for additive difference Painlevé equations
, 2016 A Lax pair for the additive difference Painlevé equation of type $E_7^{(1)}$ is explicitly obtained as certain linear difference equations of scalar form. The compatibility of the Lax pair is proved by using certain characterization of the coefficients in the Lax equation. Some Lax pairs for types $E_6^{(1)}$, $D_4^{(1)}$ and $A_3^{(1)}$ are also given
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A Lax Pair for 2D Euler Equation
, 2000 A Lax pair for the 2D Euler equation is found.
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Commun Math PhysDe Clerck M, Evnin O.
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The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]
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Inorg ChemŠibav L +8 more
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Solving the coupled Gerdjikov-Ivanov equation via Riemann-Hilbert approach on the half line. [PDF]
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Biomimetics (Basel)Demir HI, Dervis S.
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