Soliton solutions of \(q\)-Toda lattice by Hirota direct method

DOI10.1186/1687-1847-2012-121zbMath1346.37057OpenAlexW2137921616WikidataQ59289051 ScholiaQ59289051MaRDI QIDQ320367

Burcu Silindir

Publication date: 6 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-121

zbMATH Keywords

\(q\)-exponential identity\(q\)-Hirota \(D\)-operator\(q\)-soliton solutions\(q\)-Toda latticeHirota direct method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08) Lattice functional-differential equations (34K31)

Related Items (4)

Exact solutions to the four-component Merola-Ragnisco-Tu lattice equations ⋮ Sato theory on the \(q\)-Toda hierarchy and its extension ⋮ Integrability on generalized q-Toda equation and hierarchy ⋮ Generalized quantum exponential function and its applications

Cites Work

• Multilinear operators: the natural extension of Hirota's bilinear formalism
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• 2 + 1 KdV(N) equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• Exact envelope-soliton solutions of a nonlinear wave equation
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