An Integrable Coupled Toda Equation And Its Related Equation Via Hirota’s Bilinear Approach

Jun-Xiao Zhao State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences Academia Sinica, P.O. Box 2719, 100080, Beijing, P.R. China E-mail: [email protected]@[email protected]

Chun-Xia Li State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences Academia Sinica, P.O. Box 2719, 100080, Beijing, P.R. China E-mail: [email protected]@[email protected]

Xing-Biao Hu State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences Academia Sinica, P.O. Box 2719, 100080, Beijing, P.R. China E-mail: [email protected]@[email protected]

Abstract

A coupled Toda equation and its related equation are derived from 3-coupled bilinear equations. The corresponding Bäcklund transformation and nonlinear superposition formula are presented for the 3-coupled bilinear equations. As an application of the results, solition solutions are derived. Besides, starting from the bilinear BT, Lax pairs for these two differential-difference systems are obtained.

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An Integrable Coupled Toda Equation And Its Related Equation Via Hirota’s Bilinear Approach

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An Integrable Coupled Toda Equation And Its Related Equation Via Hirota’s Bilinear Approach

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