2014
DOI: 10.1155/2014/593983
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Exact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative

Abstract: Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota's approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated. The considered equation can reduce to nonlinear Schrödinger equation with derivative as well as the solutions.

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Cited by 1 publication
(2 citation statements)
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“…Now from ((10a), (10b), (10c)) and using the Casoratian technique, we show that ((10a), (10b), (10c)) solves ((4a), (4b), (4c)) for the condition equations ((12a), (12b)). In fact, we only need to verify (15), which can be obtained by the following identities:…”
Section: The Double Casoratian Solutionmentioning
confidence: 99%
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“…Now from ((10a), (10b), (10c)) and using the Casoratian technique, we show that ((10a), (10b), (10c)) solves ((4a), (4b), (4c)) for the condition equations ((12a), (12b)). In fact, we only need to verify (15), which can be obtained by the following identities:…”
Section: The Double Casoratian Solutionmentioning
confidence: 99%
“…Many methods such as the inverse scattering transformation [7], Hirota method [8], Bäcklund transformation (e.g., [9]), dressing method (e.g., [10]), and Wronskian/Casoratian technique [11] can be used for finding their solutions of continuous [12] and discrete soliton equations [13] and soliton equations with self-consistent sources [14]. It is well known that the Wronskian/Casoratian technique has been used to construct various types of exact solutions of soliton equations, such as soliton solutions (e.g., [15]) and rational solutions [16]. N-soliton solution of the discrete-time relativistic Toda lattice equation is explicitly constructed in the form of the Casorati determinant [17].…”
Section: Introductionmentioning
confidence: 99%