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