The elliptic sine-Gordon equation: a nonlinear elliptic integrable PDEPelloni, B. (2015) The elliptic sine-Gordon equation: a nonlinear elliptic integrable PDE. In: Fockas, A. S. and Pelloni, B. (eds.) Unified transform: applications and advances. SIAM, pp. 73-90. ISBN 9781611973815 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Abstract/SummaryIn this paper, we summarise this recent progress to underline the features specific to this nonlinear elliptic case, and we give a new classification of boundary conditions on the semistrip that satisfy a necessary condition for yielding a boundary value problem can be effectively linearised. This classification is based on formulation the equation in terms of an alternative Lax pair.
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