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Explode-Decay Solitons in the Generalized Inhomogeneous Higher-Order Nonlinear Schr¨odinger Equations

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Explode-Decay Solitons in the Generalized Inhomogeneous Higher-Order Nonlinear Schr¨odinger Equations

Ramaswamy Radha and V. Ramesh Kumar

Centre for Nonlinear Science, Department of Physics, Govt. College for Women, Kumbakonam – 612001, India

Reprint requests to R. R.; E-mail: radha ramaswamy@yahoo.com Z. Naturforsch.62a,381 – 386 (2007); received March 3, 2007

In this paper we investigate the generalized inhomogeneous higher-order nonlinear Schr¨odinger equations, generated recently by deforming the inhomogeneous Heisenberg ferromagnetic spin sys- tem through a space curve formalism [Phys. Lett. A352, 64 (2006)] and construct their multisoliton solutions, using gauge transformation. The amplitude of the bright soliton solutions generated grows and decays with time, and there is an exchange of energy between soliton trains during interaction. – PACS numbers: 02.30.lk, 02.30.Jr, 05.45.Yv.

Key words:Generalized Inhomogeneous Higher-Order Nonlinear Schr¨odinger Equation;

Gauge Transformation; Explode-Decay Solitons.

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