Rational-Like Solutions of a Differential-Difference Equation Related to Ablowitz-Ladik Spectral Problem
Author(s) -
Zhang Jiang-ping,
Qi Li,
Shou-Ting Chen
Publication year - 2015
Publication title -
international journal of engineering mathematics
Language(s) - English
Resource type - Journals
eISSN - 2356-7007
pISSN - 2314-6109
DOI - 10.1155/2015/373798
Subject(s) - mathematics , differential equation , soliton , construct (python library) , matrix (chemical analysis) , spectral method , differential (mechanical device) , mathematical analysis , physics , computer science , nonlinear system , chemistry , thermodynamics , quantum mechanics , chromatography , programming language
By using the Casoratian technique, we construct the double Casoratian solutions whose entries satisfy matrix equation of a differential-difference equation related to the Ablowitz-Ladik spectral problem. Soliton solutions and rational-like solutions are obtained from taking special cases in general solutions
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