Abstract
Current interest in cascaded quadratic nonlinearity has led a number of au thors [1] – [5] to find temporal and spatial coupled solitary waves of many classes other than the basic bright-bright solution due to Karamzin and Sukhorukov [6]. Like that solution, all known explicit solutions are express ible in terms of hyperbolic functions. Since hyperbolic functions are limiting cases of Jacobian elliptic functions, it is natural to adapt the search proce dure used in [5] to identify classes of dark-bright, dark-dark and brighter-brighter profiles to seek possibilities for periodic coupled travelling waves.
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© 1999 Springer Science+Business Media Dordrecht
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Parker, D.F., Tsoy, E.N. (1999). Solitary and Periodic Pulses for χ(2): Explicit Solutions in Abundance. In: Boardman, A.D., Pavlov, L., Tanev, S. (eds) Advanced Photonics with Second-Order Optically Nonlinear Processes. NATO Science Series, vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0850-1_13
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DOI: https://doi.org/10.1007/978-94-007-0850-1_13
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