Multiscale expansion of the lattice sine--Gordon equation
classification
🧮 math-ph
math.MP
keywords
equationlatticeobtainsine--gordonallowbehaviourcompletelydifference
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We expand a discrete--time lattice sine--Gordon equation on multiple lattices and obtain the partial difference equation which governs its far field behaviour. Such reduction allow us to obtain a new completely discrete nonlinear Schr\"oedinger (NLS) type equation.
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