Deformation and (3+1)-dimensional integrable model
ABSTRACT A suitable and effective deformation relation is derived by using the Miura transformation. In the light of this relation,
the (2 + 1)-dimensional linear heat conductive equation is deformed to a (3 + 1)-dimensional model. It is proved by standard
singularity structure analysis that the (3+1)-dimensional nonlinear equation obtained here is Painlevé integrable.
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ABSTRACT: The dynamical behavior of the perturbed compound KdV–Burgers equation is investigated numerically. It is shown that the chaotic dynamics can occur when the compound KdV–Burgers equation is perturbed by periodic forcing. Different routes to chaos such as period doubling, quasi-periodic routes, and the shapes of strange attractors are observed by applying bifurcation diagrams, the largest Lyapunov exponent, phase projection and Poincaré map.Chaos Solitons & Fractals 08/2007; · 1.50 Impact Factor