On the integrability of a new lattice equation found by multiple scale analysis

Abstract

In this paper we discuss the integrability properties of a nonlinear partial difference equation on the square obtained by the multiple scale integrability test from a class of multilinear dispersive equations defined on a four points lattice.

References in corpus (5)

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Cited by in corpus (12)

• Classification of five-point differential-difference equations
• Classification of five-point differential-difference equations II
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations
• Non-invertible transformations for the classification of differential-difference equations
• Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps
• Miura-type transformations for lattice equations and Lie group actions associated with Darboux-Lax representations
• Integrable Discrete Nonautonomous Quad-equations as Bäcklund Auto-transformations for Known Volterra and Toda Type Semidiscrete Equations
• Discrete Lax pairs and hierarchies of integrable difference systems
• Integrable Modifications of the Ito-Narita-Bogoyavlensky Equation
• ${\mathbb{Z}}_N$ graded discrete Lax pairs and discrete integrable systems
• Algebraic entropy for systems of quad equations