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• W1975379719 startingPage "896" @default.
• W1975379719 abstract "We introduce a simple topological classification for the solitary-wave solutions of the coupled equations describing ${mathrm{ensuremath{chi}}}^{(2)}$ parametric waveguides. Both temporal and spatial cases are studied. Simultaneous solitary-wave solutions at two different frequencies, which we term ``simultons,'' are shown to exist using topological arguments. In each case, families of general one-parameter simultons are given numerically. Each family consists of both fundamental and higher-order simultons of a topological or nontopological nature. There are several possible ways to combine dispersions at different frequencies. Thus there are more possible ways of maintaining temporal simultons in 1+1 space-time than for purely spatial simultons in two space dimensions. textcopyright{} 1996 The American Physical Society." @default.
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• W1975379719 date "1996-07-01" @default.
• W1975379719 modified "2023-09-23" @default.
• W1975379719 title "Simultaneous solitary-wave solutions in a nonlinear parametric waveguide" @default.
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• W1975379719 doi "https://doi.org/10.1103/physreve.54.896" @default.
• W1975379719 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9965138" @default.
• W1975379719 hasPublicationYear "1996" @default.
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