On a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation
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Publication:4642547
DOI10.1063/1.4975123zbMath1387.37067OpenAlexW2584609930WikidataQ47955044 ScholiaQ47955044MaRDI QIDQ4642547
Publication date: 23 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4975123
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
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- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- The Toda hierarchy and the KdV hierarchy
- Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
- Symmetries and exact solutions of the Sharma-Tass-Olver equation
- Partial differential equations and solitary waves theory
- On the continuous limit of integrable lattices. I: The Kac-Moerbeke system and KdV theory
- Rational solutions of the Toda lattice equation in Casoratian form
- Korteweg-de Vries and nonlinear equations related to the Toda lattice
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- A semi-discrete integrable multi-component coherently coupled nonlinear Schrödinger system
- Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy
- The Kundu–Eckhaus equation and its discretizations
- Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
- Nonlinear mode decoupling for classes of evolution equations
- Nonlinear differential−difference equations
- Evolution equations possessing infinitely many symmetries
- Symmetries of the discrete Burgers equation
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- Hamiltonian formulation of odd Burgers hierarchy
- Higher order potential expansion for the continuous limits of the Toda hierarchy
- Continuous limits for the Kac-Van Moerbeke hierarchy and for their restricted flows
- Travelling wave solutions to nonlinear evolution and wave equations
- Conservation Laws and Darboux Transformation for Sharma—Tasso—Olver Equation
- Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
- Multisoliton, multipositon, multinegaton, and multiperiodic solutions of a coupled Volterra lattice system and their continuous limits
- On the continuous limits and integrability of a new coupled semidiscrete mKdV system
- On a quasi-linear parabolic equation occurring in aerodynamics
