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      The exact solutions and their linear stability analysis for 2-dimensional Ablowitz-Ladik equation

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          Abstract

          The Ablowitz-Ladik equation is a very important model in the nonlinear mathematical physics. In this paper, the hyperbolic function solitary wave solutions, the trigonometric function periodic wave solutions and the rational wave solutions with more arbitrary parameters of 2-dimensional Ablowitz-Ladik equation are derived by using the GG-expansion method, and the effect of the parameters (including the coupling constant and other parameters) on the linear stability of the exact solutions is analysed and numerically simulated.

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          Soliton stability in plasmas and hydrodynamics

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            Dynamics of the generalized M set on escape-line diagram

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              Author and article information

              Journal
              2017-01-22
              Article
              10.1088/1674-1056/23/4/044208
              1701.06166
              79f829cc-1f21-4807-9283-b2683a0ca5b4

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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              Custom metadata
              nlin.SI nlin.PS

              Nonlinear & Complex systems
              Nonlinear & Complex systems

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