Special derivative nonlinear Schrödinger (DNLS) systems exhibiting 2-soliton solutions (Q1577200)
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scientific article; zbMATH DE number 1501111
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| English | Special derivative nonlinear Schrödinger (DNLS) systems exhibiting 2-soliton solutions |
scientific article; zbMATH DE number 1501111 |
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Special derivative nonlinear Schrödinger (DNLS) systems exhibiting 2-soliton solutions (English)
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9 November 2000
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This paper is devoted to the modified derivative nonlinear Schrödinger (DNLS) equation with fifth-order nonlinearity. To this and the authors use the Hirota bilinear transform motion. By including a self-phase modulation term, a modified DNLS system exhibits dark \(2\)-solitons. Moreover, the authors construct an envelope equation with third-order dispersion that permits interactions of solitons. Applications to hydrodynamics and fiber optics are discussed.
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Schrödinger equation
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Hirota bilinear transform
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third-order dispersion
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