Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability
Fuente:
arXiv
Saved in:
| Main Author: | Ivanov, Rossen I. |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Higher-order integrable models for oceanic internal wave-current interactions
by: Henry, David, et al.
Published: (2024)
by: Henry, David, et al.
Published: (2024)
Yang--Baxter maps of KdV, NLS and DNLS type on division rings
by: Konstantinou-Rizos, S., et al.
Published: (2024)
by: Konstantinou-Rizos, S., et al.
Published: (2024)
Stability of KdV solitons
by: Wu, Derchyi
Published: (2024)
by: Wu, Derchyi
Published: (2024)
Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability
by: Ivanov, Rossen, et al.
Published: (2019)
by: Ivanov, Rossen, et al.
Published: (2019)
On vector Schwarz-KdV equation
by: Balakhev, M., et al.
Published: (2025)
by: Balakhev, M., et al.
Published: (2025)
Reality conditions for the KdV equation and exact quasi-periodic solutions in finite phase spaces
by: Bernatska, Julia
Published: (2023)
by: Bernatska, Julia
Published: (2023)
Nonlinearization of the KdV-type and mKdV-type bilinear equations
by: Zhang, Xin, et al.
Published: (2025)
by: Zhang, Xin, et al.
Published: (2025)
Approximation of the thermodynamic limit of finite-gap solutions of the focusing NLS hierarchy by multisoliton solutions
by: Jenkins, Robert, et al.
Published: (2024)
by: Jenkins, Robert, et al.
Published: (2024)
The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach
by: de Monvel, Anne Boutet, et al.
Published: (2025)
by: de Monvel, Anne Boutet, et al.
Published: (2025)
Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
by: Shepelsky, Dmitry, et al.
Published: (2023)
by: Shepelsky, Dmitry, et al.
Published: (2023)
On the Dbar method and direct linearization approach of the lattice KdV type equations
by: Shi, Leilei, et al.
Published: (2025)
by: Shi, Leilei, et al.
Published: (2025)
Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
by: Deng, Xijun, et al.
Published: (2025)
by: Deng, Xijun, et al.
Published: (2025)
On a class of exact solutions of the Ishimori equation
by: Garifullin, Rustem N., et al.
Published: (2024)
by: Garifullin, Rustem N., et al.
Published: (2024)
A nonlocal coupled modified complex integrable dispersionless equation: Darboux transformation, soliton-type solutions and its asymptotic behavior
by: Sun, Hong-Qian, et al.
Published: (2025)
by: Sun, Hong-Qian, et al.
Published: (2025)
Compound Burgers-KdV Soliton Behaviour: Refraction, Reflection and Fusion
by: Holm, Darryl D., et al.
Published: (2025)
by: Holm, Darryl D., et al.
Published: (2025)
Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion
by: Bruzón, María de los Santos, et al.
Published: (2024)
by: Bruzón, María de los Santos, et al.
Published: (2024)
Soliton resolution and asymptotic stability of $N$-solitons to the Degasperis-Procesi equation on the line
by: Zhou, Xuan, et al.
Published: (2022)
by: Zhou, Xuan, et al.
Published: (2022)
The negative symmetry classification problem
by: Kolesnikov, M. P.
Published: (2025)
by: Kolesnikov, M. P.
Published: (2025)
Master symmetries of non-linear systems
by: Serwa, Nitin
Published: (2024)
by: Serwa, Nitin
Published: (2024)
Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions
by: Yehorchenko, Iryna
Published: (2024)
by: Yehorchenko, Iryna
Published: (2024)
Two component integrable systems modelling shallow water waves: the constant vorticity case
by: Ivanov, Rossen I.
Published: (2009)
by: Ivanov, Rossen I.
Published: (2009)
The Mumford Dynamical System and Hyperelliptic Kleinian Functions
by: Buchstaber, Victor
Published: (2024)
by: Buchstaber, Victor
Published: (2024)
Investigation of shallow water waves near the coast or in lake environments via the KdV-Calogero-Bogoyavlenskii-Schiff equation
by: Han, Peng-Fei, et al.
Published: (2024)
by: Han, Peng-Fei, et al.
Published: (2024)
Numerical inverse scattering transform for the defocusing nonlinear Schrödinger equation with box-type initial conditions on a nonzero background
by: Gkogkou, Aikaterini, et al.
Published: (2024)
by: Gkogkou, Aikaterini, et al.
Published: (2024)
The Method of ${\cal M}_{n}$-Extension: The KdV Equation
by: Gürses, Metin, et al.
Published: (2025)
by: Gürses, Metin, et al.
Published: (2025)
Bäcklund-Darboux Transformations for Super KdV Type Equations
by: Xue, Lingling, et al.
Published: (2024)
by: Xue, Lingling, et al.
Published: (2024)
Conservation laws for a generalized seventh order KdV equation
by: Bruzón, María de los Santos, et al.
Published: (2024)
by: Bruzón, María de los Santos, et al.
Published: (2024)
Long time asymptotics for the KPII equation
by: Wu, Derchyi
Published: (2025)
by: Wu, Derchyi
Published: (2025)
Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings
by: Croydon, David A., et al.
Published: (2020)
by: Croydon, David A., et al.
Published: (2020)
The inverse scattering theory of Kadomtsev-Petviashvili II equations
by: Wu, Derchyi
Published: (2024)
by: Wu, Derchyi
Published: (2024)
The loop equation for the Burgers--KdV hierarchy
by: Yang, Di, et al.
Published: (2024)
by: Yang, Di, et al.
Published: (2024)
Eikonal 2.0: General Solutions for Modified Eikonal Equations
by: Yehorchenko, Iryna
Published: (2024)
by: Yehorchenko, Iryna
Published: (2024)
Finite-time blow-up of two $(1+1)$D systems rigorously derived from the 3D axisymmetric Euler equations
by: Shi, Yaoming
Published: (2026)
by: Shi, Yaoming
Published: (2026)
Miura transformation in bidifferential calculus and a vectorial Darboux transformation for the Fokas-Lenells equation
by: Müller-Hoissen, Folkert, et al.
Published: (2025)
by: Müller-Hoissen, Folkert, et al.
Published: (2025)
On the non-chiral intermediate long wave equation
by: Berntson, Bjorn K., et al.
Published: (2020)
by: Berntson, Bjorn K., et al.
Published: (2020)
On Quasi-integrable Deformation Scheme of The KdV System
by: Abhinav, Kumar, et al.
Published: (2021)
by: Abhinav, Kumar, et al.
Published: (2021)
On symmetries of the Gibbons-Tsarev equation
by: Baran, H., et al.
Published: (2018)
by: Baran, H., et al.
Published: (2018)
Soliton Shielding of the focusing modified KdV equation
by: Ma, Ruihong, et al.
Published: (2024)
by: Ma, Ruihong, et al.
Published: (2024)
Solutions to an autonomous discrete KdV equation via Painlevé-type ordinary difference equations
by: Nakazono, Nobutaka
Published: (2025)
by: Nakazono, Nobutaka
Published: (2025)
Additional symmetries of the KP-mKP hierarchy and Virasoro constraints to the Burgers-KdV hierarchy
by: Feng, Zongyao, et al.
Published: (2026)
by: Feng, Zongyao, et al.
Published: (2026)
Similar Items
-
Higher-order integrable models for oceanic internal wave-current interactions
by: Henry, David, et al.
Published: (2024) -
Yang--Baxter maps of KdV, NLS and DNLS type on division rings
by: Konstantinou-Rizos, S., et al.
Published: (2024) -
Stability of KdV solitons
by: Wu, Derchyi
Published: (2024) -
Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability
by: Ivanov, Rossen, et al.
Published: (2019) -
On vector Schwarz-KdV equation
by: Balakhev, M., et al.
Published: (2025)