On real hyperelliptic solutions of focusing modified KdV equation
DOI10.1007/s11040-024-09490-zMaRDI QIDQ6628755
Publication date: 29 October 2024
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Special algebraic curves and curves of low genus (14H45) Relationships between algebraic curves and integrable systems (14H70) Curves in Euclidean and related spaces (53A04) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)
Cites Work
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- The \(\operatorname{al}\) function of a cyclic trigonal curve of genus three
- Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica
- The addition law attached to a stratification of a hyperelliptic Jacobian variety
- Euler's elastica and beyond
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- On a system of differential equations leading to periodic functions.
- An algebro-geometric model for the shape of supercoiled DNA
- Kashiwa lectures on new approaches to the monster
- Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker's study on hyperelliptic sigma functions
- From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials
- Inversion of a general hyperelliptic integral and particle motion in Hořava–Lifshitz black hole space-times
- Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
- Statistical mechanics of elastica on a plane: origin of the MKdV hierarchy
- Hyperelliptic solutions of modified Korteweg-de Vries equation of genus g: essentials of the Miura transformation
- Zur Theorie der Abelschen Functionen.
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- Method for Solving the Korteweg-deVries Equation
- Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves
- σ-Functions: Old and New Results
- Loop spaces, characteristic classes and geometric quantization
- On the hyperelliptic sigma functions.
- Statistical mechanics of elastica for the shape of supercoiled DNA: hyperelliptic elastica of genus three
- The Weierstrass sigma function in higher genus and applications to integrable equations (to appear)
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