Discretised Hirota equation, equivalent spin chain and Backlund transformations

DOI10.1088/0266-5611/5/2/001zbMath0696.35182OpenAlexW2073144651MaRDI QIDQ3472584

K. Porsezian, Muthusamy Lakshmanan

Publication date: 1989

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/5/2/001

zbMATH Keywords

inverse scattering methodone-soliton solutiondiscretised Hirota equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions ⋮ \(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation ⋮ The discrete modified Korteweg-de Vries equation under nonzero boundary conditions ⋮ Gauge equivalent structure and solitary wave solution for a modified Landau-Lifshitz equation ⋮ On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains ⋮ Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit

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