Geometrical and gauge equivalence of the generalized Hirota, Heisenberg and WKIS equations with linear inhomogeneities

DOI10.1016/0378-4371(85)90120-7zbMath0711.35129OpenAlexW2048370367MaRDI QIDQ923268

Elsie Sterbin Gottlieb

Publication date: 1985

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(85)90120-7

zbMATH Keywords

scatteringnonlinear evolution equationsHeisenberg ferromagnetic spinHirota's equationlinear inhomogeneities

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) General mathematical topics and methods in quantum theory (81Q99)

Related Items (11)

On hyperbolic surfaces: Moving triad and Loewner system connections ⋮ On the Generalized Heisenberg Supermagnetic Model ⋮ On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions ⋮ New exact shape changing solitary solutions of a generalized Hirota equation with nonlinear inhomogeneities ⋮ On the higher-order inhomogeneous Heisenberg supermagnetic models ⋮ An algebraic method to construct the Darboux matrix ⋮ Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation ⋮ Local nonautonomous Schrödinger flows on Kähler manifolds ⋮ Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system ⋮ Local existence for inhomogeneous Schrödinger flow into Kähler manifolds ⋮ Multisoliton generation in inhomogeneous nonlinear Schrödinger and Heisenberg spin systems

Cites Work

• New Integrable Nonlinear Evolution Equations
• Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities
• The inverse scattering transform: Semi-infinite interval
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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