Nonlinear Schrödinger family on moving space curves: Lax pairs, soliton solution and equivalent spin chain

DOI10.1016/S0960-0779(97)00132-XzbMath0934.35177WikidataQ120828907 ScholiaQ120828907MaRDI QIDQ1809610

K. Porsezian

Publication date: 15 February 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

spin chainLax pairssoliton solutionnonlinear Schrödinger type equationsvortex filament motionmoving helical space curves

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

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• An elementary geometric characterization of the integrable motions of a curve
• A Generalization of Inverse Scattering Method
• Strings, rods, vortices and wave equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

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