An extended integrable fractional-order KP soliton hierarchy
From MaRDI portal
Publication:430705
DOI10.1016/j.physleta.2010.11.063zbMath1241.37012OpenAlexW2091416884MaRDI QIDQ430705
Publication date: 26 June 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2010.11.063
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
- A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
- Hamiltonian formalism of Whitham-type hierarchies and topological Landau- Ginsburg models
- Fractals and fractional calculus in continuum mechanics
- A new super \(KP\) system and a characterization of the Jacobians of arbitrary algebraic super curves
- Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold
- Chaos, fractional kinetics, and anomalous transport
- A \(2+1\) non-isospectral discrete integrable system and its discrete integrable coupling system
- Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of nondifferentiable functions
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- The geometry of the super KP flows
- Fractals and quantum mechanics
- Fractional differential forms
- DOUBLE SCALING LIMIT OF THE SUPER-VIRASORO CONSTRAINTS
- Integrable couplings of vector AKNS soliton equations
- COUPLING INTEGRABLE COUPLINGS
- An extended Harry Dym hierarchy
- Characteristic Numbers of Matrix Lie Algebras
- An extended noncommutative KP hierarchy
- Long way from the FPU-problem to chaos
- Fractional Fokker–Planck equation for fractal media
