Spatiotemporal traveling and solitary wave solutions to the generalized nonlinear Schrödinger equation with single- and dual-power law nonlinearity
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We generalize previously obtained solutions to the generalized nonlinear Schrödinger equation (NLSE) with cubic-quintic nonlinearity and distributed coefficients to obtain spatiotemporal traveling and solitary wave solutions for the NLSE with a general p-2p dual-power law nonlinearity, where p is an arbitrary positive real number (the cubic-quintic model being a special case for \(p=2\)). In addition, it is possible to eliminate the lower exponent, producing spatiotemporal traveling and solitary wave solutions to the NLSE with a single power law nonlinearity of arbitrary positive real power, which models many important systems including superfluid Fermi gas.
KeywordsNonlinear Schrödinger Cubic-quintic Dual-power
Work at the Institute of Physics is supported by Project OI 171006 of the Serbian Ministry of Education and Science.
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The author declares that he has no conflict of interest.
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