Lie symmetries of Hirota’s bilinear equations
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Publication:3987293
DOI10.1063/1.529506zbMath0737.35110OpenAlexW1976976180MaRDI QIDQ3987293
K. M. Tamizhmani, Alfred Ramani, Basile Grammaticos
Publication date: 28 June 1992
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529506
KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional Lie (super)algebras (17B65) Applications of PDEs on manifolds (58J90) Invariance and symmetry properties for PDEs on manifolds (58J70)
Related Items (14)
Pfaffianization of the two-dimensional Toda lattice ⋮ Equations of arbitrary order invariant under the Kadomtsev–Petviashvili symmetry group ⋮ Full symmetry groups, Painlevé integrability and exact solutions of the nonisospectral BKP equation ⋮ Painlevé analysis, infinite dimensional symmetry group and symmetry reductions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation ⋮ The generalized symmetry algebra of the bilinear Kadomtsev-Petviashvili equation ⋮ \((3+1)\)-dimensional models with an infinitely dimensional Virasoro type symmetry algebra ⋮ Nonlinear Schrödinger equations and Virasoro algebra ⋮ Soliton solutions and symmetries of the \(2+1\) dimensional Kaup-Kupershmidt equation ⋮ Rational function representations of wave patterns in higher-dimensional and discrete evolution equations ⋮ A differential-difference Kadomtsev-Petviashvili family possesses a common Kac-Moody-Virasoro symmetry algebra ⋮ Higher dimensional Painlevé integrable models from the Kadomtsev–Petviashvili equation ⋮ The study of dromion interactions of (2+1)-dimensional integrable systems ⋮ Lie symmetries of soliton equations with self-consistent sources via source generation procedure ⋮ Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
Cites Work
- Solitons and infinite dimensional Lie algebras
- Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
- A Nonlinear Derivative Schroedinger-Equation: Its Bi-Hamilton Structures, Their Inverses, Nonlocal Symmetries and Mastersymmetries
- Lie transformations, nonlinear evolution equations, and Painlevé forms
- Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
- Symmetries and Integrability
- On the infinite-dimensional symmetry group of the Davey–Stewartson equations
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- A search for bilinear equations passing Hirota’s three-soliton condition. IV. Complex bilinear equations
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