A Lax pair structure for the half-wave maps equation
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DOI: 10.1007/s11005-017-1044-x
Abstract: AbstractWe consider the half-wave maps equation $$\begin{aligned} \partial _t \vec {S} = \vec {S} \wedge |\nabla | \vec {S}, \end{aligned}$$∂tS→=S→∧|∇|S→,where $$\vec {S}= \vec {S}(t,x)$$S→=S→(t,x) takes values on the two-dimensional unit sphere $$\mathbb {S}^2$$S2 and $$x… read more here.
Keywords: maps equation; lax pair; wave maps; equation ... See more keywords
Lax pair in m × m matrix functions form of the m-component modified KP hierarchy
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DOI: 10.1088/1361-6544/adb239
Abstract: In this paper, the m-component modified KP hierarchy is introduced as an identity expressed in terms of free fermions and tau functions, where tau functions are defined as group GL∞ orbitals. Subsequently, the Hirota bilinear… read more here.
Keywords: component modified; lax pair; matrix functions; modified hierarchy ... See more keywords
On a Toda lattice hierarchy: Lax pair, integrable symplectic map and algebraic–geometric solution
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DOI: 10.1142/s021798491850344x
Abstract: A Toda lattice hierarchy is studied by introducing a new spectral problem which is a discrete counterpart of the generalized Kaup–Newell spectral problem. Based on the Lenard recursion equation, La... read more here.
Keywords: toda lattice; hierarchy lax; lax pair; pair integrable ... See more keywords
Continuous Limit, Rational Solutions, and Asymptotic State Analysis for the Generalized Toda Lattice Equation Associated with 3 × 3 Lax Pair
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DOI: 10.3390/sym14050920
Abstract: Discrete integrable nonlinear differential difference equations (NDDEs) have various mathematical structures and properties, such as Lax pair, infinitely many conservation laws, Hamiltonian structure, and different kinds of symmetries, including Lie point symmetry, generalized Lie bäcklund… read more here.
Keywords: generalized toda; equation; toda lattice; lax pair ... See more keywords