Constructing a supersymmetric integrable system from the Hirota method in superspace
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Publication:1422092
DOI10.1016/j.nuclphysb.2003.11.042zbMath1034.37030arXivnlin/0406067OpenAlexW2074435062MaRDI QIDQ1422092
Publication date: 18 February 2004
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0406067
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Supersymmetry and quantum mechanics (81Q60)
Related Items (13)
New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation ⋮ On the Generalized Heisenberg Supermagnetic Model ⋮ Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV-Burgers equation ⋮ The rational solution of supersymmetric KdV equation ⋮ (2+1)-dimensional supersymmetric integrable equations ⋮ On the higher order Heisenberg supermagnet model in (2+1)-dimensions ⋮ (2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model ⋮ Fermionic covariant prolongation structure theory for multidimensional super nonlinear evolution equation ⋮ On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito's equation ⋮ Integrable higher order deformations of Heisenberg supermagnetic model ⋮ Quasiperiodic Wave Solutions of Supersymmetric KdV Equation in Superspace ⋮ On a integrable deformations of Heisenberg supermagnetic model ⋮ Super extension of Bell polynomials with applications to supersymmetric equations
Cites Work
- A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
- HIROTA BILINEAR FORM FOR THE SUPER-KdV HIERARCHY
- Constructing the soliton solutions for theN= 1 supersymmetric KdV hierarchy
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
- Supersymmetric extension of the Korteweg–de Vries equation
- A new N=2 supersymmetric Korteweg–de Vries equation
- Bilinearization ofN 1 supersymmetric modified KdV equations
- Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
- Method for Solving the Korteweg-deVries Equation
- Extension of the bilinear formalism to supersymmetric KdV-type equations
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
- Odd bi-Hamiltonian structure of new supersymmetric \(N=2,4\) Korteweg de Vries equation and odd SUSY Virasoro-like algebra.
- Soliton solutions for the \(N=2\) supersymmetric KdV equation
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