Algebro-geometric solutions of the Harry Dym hierarchy
DOI10.1515/ijnsns-2016-0057zbMath1401.37076OpenAlexW2589051986MaRDI QIDQ1662149
Publication date: 17 August 2018
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2016-0057
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Plane and space curves (14H50) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Theta functions and curves; Schottky problem (14H42)
Cites Work
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- Algebro-geometric solutions of the TD hierarchy
- Quasi-periodic solutions of mixed AKNS equations
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
- Dynamical systems, theory and applications. Battelle Seattle 1974 Rencontres
- Algebro-geometric solutions of the Harry Dym equation
- Algebro-geometric solutions of the Camassa-Holm hierarchy
- Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions
- The Harry Dym equation on the complex plane: Inverse spectral transform and exact solutions
- Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation
- Cusp solitons and cusp-like singular solutions for nonlinear equations
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Cusp Soliton of a New Integrable Nonlinear Evolution Equation
- New Integrable Nonlinear Evolution Equations
- Quasi-Periodic Solutions of Nonlinear Evolution Equations Associated with a 3 × 3 Matrix Spectral Problem
- Binary constrained flows and separation of variables for soliton equations
- Theta functions and non-linear equations
- Stationary Harry-Dym's equation and its relation with geodesics on ellipsoid
- An extended Harry Dym hierarchy
- Coupled Harry Dym equations with multi-Hamiltonian structures
- Explicit solutions for the Harry Dym equation
- An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
- A New Approach to the Boussinesq Hierarchy
- The higher-times approach to multisoliton solutions of the Harry Dym equation
- On Reciprocal Bäcklund Transformations and the Korteweg-deVries Hierarchy
- Elliptic Solutions, Recursion Operators and Complete Lie-Backlund Symmetry for the Harry-Dym Equation
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
- N-loop solitons and their link with the complex Harry Dym equation
- Soliton solutions and quasiperiodic solutions of modified Korteweg–de Vries type equations
- On some spectral problems and isospectral evolutions connected with the classical string problem
- Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy
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