Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy
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Publication:3189965
DOI10.1063/1.4891605zbMath1302.37043OpenAlexW2065119691MaRDI QIDQ3189965
Publication date: 12 September 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4891605
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70)
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Cites Work
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- Completely integrable Hamiltonian systems associated with matrix operators and abelian varieties
- Analytic method for solitary solutions of some partial differential equations
- Algebro-geometric solutions for the Hunter-Saxton hierarchy
- Abundant exact and explicit solitary wave and periodic wave solutions to the Sharma-Tasso-Olver equation
- Symmetries and exact solutions of the Sharma-Tass-Olver equation
- Algebro-geometric solutions of the Camassa-Holm hierarchy
- Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- The extended hyperbolic function method and exact solutions of the long-short wave resonance equations
- Algebro-geometric solutions for the Ruijsenaars-Toda hierarchy
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- Algebro-geometric Solutions for the Degasperis--Procesi Hierarchy
- Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
- Nonlinear mode decoupling for classes of evolution equations
- Evolution equations possessing infinitely many symmetries
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- Hamiltonian formulation of odd Burgers hierarchy
- Travelling wave solutions to nonlinear evolution and wave equations
- Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy
- Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy