Explicit solutions of the cubic matrix nonlinear Schrodinger equation

DEMONTIS, FRANCESCO;VAN DER MEE, CORNELIS VICTOR MARIA

2008-01-01

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Abstract

In this paper, we derive a class of explicit solutions, global in , of the focusing matrix nonlinear Schrödinger equation using straightforward linear algebra. We obtain both the usual and multiple pole multisoliton solutions as well as a new class of solutions exponentially decaying as x → ∞.