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2004•Journal of the Physical Society of JapanRequires access

Multi-Component Generalizations of Four Integrable Differential-Difference Equations: Soliton Solutions and Bilinear Bäcklund Transformations

Jun-Xiao Zhao, Xing‐Biao Hu, Ryogo Hirota

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Abstract

Bilinear approach is applied to derive integrable multi-component generalizations of the so-called 1+1 dimensional special Toda lattice, the Volterra lattice, a simple differential-difference equation found by Adler, Moser, Weiss, Veselov and Shabat and another integrable lattice reduced from the discrete BKP equation. Their soliton solutions expressed by pfaffians and the corresponding bilinear Bäcklund transformations are obtained.

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What this paper is about

Bilinear approach is applied to derive integrable multi-component generalizations of the so-called 1+1 dimensional special Toda lattice, the Volterra lattice, a simple differential-difference equation found by Adler, Moser, Weiss, Veselov and Shabat and another integrable lattice reduced from the discrete BKP equation. Their soliton solutions expressed by pfaffians and the corresponding bilinear Bäcklund transformations are obtained.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Bilinear approach is applied to derive integrable multi-component generalizations of the so-called 1+1 dimensional special Toda lattice, the Volterra lattice, a simple differential-difference equation found by Adler, Moser, Weiss, Veselov and Shabat and another integrable lattice reduced from the discrete BKP equation. Their soliton solutions expressed by pfaffians and the corresponding bilinear Bäcklund transformations are obtained.

Key concepts: Integrable system, Bilinear interpolation, Toda lattice, Lattice (music), Differential equation, Mathematics, Mathematical physics, Bilinear form

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Multi-Component Generalizations of Four Integrable Differential-Difference Equations: Soliton Solutions and Bilinear Bäcklund Transformations — Research Paper | ScholarLens