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Exact and explicit solutions to the discrete nonlinear Schrödinger equation with a saturable nonlinearity
Authors:?smail Aslan
Affiliation:Department of Mathematics, Izmir Institute of Technology, Urla, ?zmir 35430, Turkey
Abstract:We analyze the discrete nonlinear Schrödinger equation with a saturable nonlinearity through the (G/G)-expansion method to present some improved results. Three types of analytic solutions with arbitrary parameters are constructed; hyperbolic, trigonometric, and rational which have not been explicitly computed before.
Keywords:  mmlsi3"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0375960111012291&  _mathId=si3.gif&  _pii=S0375960111012291&  _issn=03759601&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=a77a867303d4d696ceb2d561aa534a3d')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >(G&prime  /G)-expansion method   Discrete nonlinear Schrö  dinger equation   Exact solutions
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