Abstract
New solutions of the equations of three-wave and second-harmonic resonance are presented, in cases where these equations are nonconservative. With three waves subject to both finite linear damping and complex coupling coefficients, these new solutions depend on a single characteristic variable. In the absence of linear damping, but with complex coupling coefficients, a broad class of solutions depending on three characteristic variables is found. This class is a generalization of the so-called ‘one-lump’ solutions previously known only for conservative equations with real coupling coefficients. For second-harmonic reasonance, analogous new solutions are given for both conservative and non-conservative cases.
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Schedule a callMore From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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