Search Results - "Satsuma, J."

From soliton equations to integrable cellular automata through a limiting procedure by Tokihiro, T, Takahashi, D, Matsukidaira, J, Satsuma, J

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Extending the SIR epidemic model by Satsuma, J, Willox, R, Ramani, A, Grammaticos, B, Carstea, A.S

“…We investigate possible extensions of the susceptible–infective-removed (SIR) epidemic model. We show that there exists a large class of functions representing…”
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Linearisable mappings, revisited by Grammaticos, B., Ramani, A., Satsuma, J.

“…We examine the growth properties of second-order mappings which are integrable by linearisation and which generically exhibit a linear growth of the…”
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Calculating the algebraic entropy of mappings with unconfined singularities by Ramani, A, Grammaticos, B, Willox, R, Mase, T, Satsuma, J

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Discretising systematically the Painlevé equations by Murata, M., Satsuma, J., Ramani, A., Grammaticos, B.

“…We apply a method that we have already proposed for the systematic discretisation of differential systems to the construction of discrete analogues of the…”
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Limits and degeneracies of discrete Painlevé equations: a sequel by Ramani, A., Willox, R., Grammaticos, B., Carstea, A.S., Satsuma, J.

“…We present the discrete systems which result from the discrete Painlevé equations q - P VI and d - P V associated to the affine Weyl group E 7 ( 1 ) . Two…”
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From limit cycles to periodic orbits through ultradiscretisation by Willox, R., Ramani, A., Satsuma, J., Grammaticos, B.

“…We examine the transition between discrete and ultradiscrete (cellular-automaton-like) systems, the dynamics of which exhibit limit cycles. Motivated by…”
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Soliton–antisoliton collision in the ultradiscrete modified KdV equation by Isojima, S., Murata, M., Nobe, A., Satsuma, J.

“…The discrete modified Korteweg–de Vries equation admits exact solutions with nondefinite sign, which describe interaction among solitons with positive and…”
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An ultradiscretization of the sine-Gordon equation by Isojima, S., Murata, M., Nobe, A., Satsuma, J.

“…An ultradiscrete system corresponding to the sine-Gordon equation is proposed. A new dependent variable for the discrete sine-Gordon equation is introduced in…”
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On the ILW hierarchy by Tutiya, Y., Satsuma, J.

“…In this Letter, we present a new hierarchy which includes the intermediate long wave (ILW) equation at the lowest order. This hierarchy is thought to be a…”
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Continuous, discrete and ultradiscrete models of an inflammatory response by Carstea, A.S., Ramani, A., Satsuma, J., Willox, R., Grammaticos, B.

“…We present a three-component model which could represent the reaction of the organism to pathogen invasion. A continuous-time (differential) model is…”
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Toda-type cellular automaton and its N-soliton solution by Matsukidaira, J., Satsuma, J., Takahashi, D., Tokihiro, T., Torii, M.

“…We show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special…”
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Reductions of Integrable Lattices by Grammaticos, B, Ramani, A, Satsuma, J, Willox, R, Carstea, A S

“…We present a novel method for the reduction of integrable two-dimensional discrete systems to one-dimensional mappings. The procedure allows for the derivation…”
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Discrete soliton equations and convergence acceleration algorithms by Nagai, A., Satsuma, J.

“…Some of the well-known convergence acceleration algorithms, when viewed as two-variable difference equations, are equivalent to discrete soliton equations. It…”
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Singularity confinement and full-deautonomisation: A discrete integrability criterion by Grammaticos, B., Ramani, A., Willox, R., Mase, T., Satsuma, J.

“…We present a new approach to singularity confinement which makes it an efficient and reliable discrete integrability detector. Our method is based on the…”
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Nonautonomous discrete integrable systems by Willox, R., Tokihiro, T., Satsuma, J.

“…It is explained how a description of integrable systems using fermion operators leads in a natural way to the notions of Darboux and binary Darboux…”
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Ultra-discrete Toda molecule equation by Nagai, A., Tokihiro, T., Satsuma, J.

“…An ultra-discrete version of the Toda molecule equation is presented. The solution and conserved quantities for the equation are also discussed…”
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On special function solutions to nonlinear integrable equations by Tokihiro, T, Satsuma, J, Willox, R

“…A method for constructing special function solutions of nonlinear integrable equations is given. It is based on Darboux transformations and the integral…”
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Two-dimensional soliton cellular automaton of deautonomized Toda-type by Nagai, A., Tokihiro, T., Satsuma, J., Willox, R., Kajiwara, K.

“…A deautonomized version of the two-dimensional Toda lattice equation is presented. Its ultra-discrete analogue and soliton solutions are also discussed…”
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Quadrilateral lattices and eigenfunction potentials for N-component KP hierarchies by Willox, R., Ohta, Y., Gilson, C.R., Tokihiro, T., Satsuma, J.

“…The (charged) free fermion formulation of the N-component KP hierarchies is used for the description of quadrilateral lattices in terms of multicomponent KP…”
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