Boundary value problems for the N-wave interaction equations

Pelloni, B. and Pinotsis, D. (2009) Boundary value problems for the N-wave interaction equations. Physics Letters A, 373 (22). pp. 1940-1950. ISSN 0375-9601 doi: 10.1016/j.physleta.2009.03.064

Abstract/Summary

We consider boundary value problems for the N-wave interaction equations in one and two space dimensions, posed for x [greater-or-equal, slanted] 0 and x,y [greater-or-equal, slanted] 0, respectively. Following the recent work of Fokas, we develop an inverse scattering formalism to solve these problems by considering the simultaneous spectral analysis of the two ordinary differential equations in the associated Lax pair. The solution of the boundary value problems is obtained through the solution of a local Riemann–Hilbert problem in the one-dimensional case, and a nonlocal Riemann–Hilbert problem in the two-dimensional case.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/7272
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Elsevier
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