From fully-nonlinear to semilinear evolution equations: two symmetry-integrable examples
Fuente:
arXiv
Saved in:
| Main Authors: | Euler, Marianna, Euler, Norbert |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
by: Euler, Marianna, et al.
Published: (2024)
by: Euler, Marianna, et al.
Published: (2024)
Two sequences of fully-nonlinear evolution equations and their symmetry properties
by: Euler, Marianna, et al.
Published: (2025)
by: Euler, Marianna, et al.
Published: (2025)
On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
by: Euler, Marianna, et al.
Published: (2024)
by: Euler, Marianna, et al.
Published: (2024)
On differential equations invariant under a projective transformation group: integrability and reductions
by: Euler, Marianna, et al.
Published: (2025)
by: Euler, Marianna, et al.
Published: (2025)
Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies
by: Euler, Marianna, et al.
Published: (2025)
by: Euler, Marianna, et al.
Published: (2025)
(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)
by: Li, Yue, et al.
Published: (2025)
Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation
by: Morozov, Oleg I.
Published: (2023)
by: Morozov, Oleg I.
Published: (2023)
On the symmetry classification of integrable chains in 3D. Darboux-integrable reductions and their higher symmetries
by: Garifullin, R. N., et al.
Published: (2025)
by: Garifullin, R. N., et al.
Published: (2025)
Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schrödinger equation
by: Deng, Zixuan, et al.
Published: (2026)
by: Deng, Zixuan, et al.
Published: (2026)
Non-local time evolution equation with singular integral and its application to traffic flow model
by: Higashi, Kohei
Published: (2024)
by: Higashi, Kohei
Published: (2024)
Solvable nonlinear systems of 2 recursions displaying interesting evolutions
by: Calogero, Francesco
Published: (2024)
by: Calogero, Francesco
Published: (2024)
Integrable equations with negative evolution numbers
by: Pogrebkov, Andrei
Published: (2026)
by: Pogrebkov, Andrei
Published: (2026)
Defocusing Hirota equation with fully asymmetric non-zero boundary conditions: the inverse scattering transform
by: Ye, Rusuo, et al.
Published: (2024)
by: Ye, Rusuo, et al.
Published: (2024)
Simple systems of nonlinear recursions whose evolution is rather easily ascertained
by: Calogero, Francesco
Published: (2025)
by: Calogero, Francesco
Published: (2025)
The (3+1)-dimensional dispersionless integrable hierarchy and nonlinear Riemann-Hilbert problem associated with the Doubrov-Ferapontov modified heavenly equation
by: Yi, Ge, et al.
Published: (2025)
by: Yi, Ge, et al.
Published: (2025)
Lie symmetry classification of a coupled nonlinear cross-diffusion system in radial geometry
by: Singh, Manjit, et al.
Published: (2026)
by: Singh, Manjit, et al.
Published: (2026)
Sundman-like transformations and the NRT nonlinear Schrödinger equation
by: Gordoa, P. R., et al.
Published: (2025)
by: Gordoa, P. R., et al.
Published: (2025)
Extended symmetry of higher Painlevé equations of even periodicity and their rational solutions
by: Aratyn, Henrik, et al.
Published: (2024)
by: Aratyn, Henrik, et al.
Published: (2024)
Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
by: Zhao, Song-lin, et al.
Published: (2024)
by: Zhao, Song-lin, et al.
Published: (2024)
Action-angle variables for the nonlinear Schrödinger equation on the half-line
by: Xia, Baoqiang
Published: (2024)
by: Xia, Baoqiang
Published: (2024)
Discrete integrable equations with three independent variables
by: Habibullin, Ismagil T., et al.
Published: (2026)
by: Habibullin, Ismagil T., et al.
Published: (2026)
On a two-component Camassa-Holm equation
by: Zhang, Zixing, et al.
Published: (2024)
by: Zhang, Zixing, et al.
Published: (2024)
On integrable reductions of two-dimensional Toda-type lattices
by: Habibullin, I. T., et al.
Published: (2024)
by: Habibullin, I. T., et al.
Published: (2024)
Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions
by: Hao, Xiazhi, et al.
Published: (2025)
by: Hao, Xiazhi, et al.
Published: (2025)
Algebraic quantisation approach to integrable differential-difference equations
by: Carpentier, Sylvain, et al.
Published: (2025)
by: Carpentier, Sylvain, et al.
Published: (2025)
On the complete integrability of space-time shifted nonlocal equations
by: Xia, Baoqiang
Published: (2024)
by: Xia, Baoqiang
Published: (2024)
Long-time asymptotics of the coupled nonlinear Schödinger equation in a weighted Sobolev space
by: Huang, Yubin, et al.
Published: (2025)
by: Huang, Yubin, et al.
Published: (2025)
The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach
by: Zhang, Da-jun, et al.
Published: (2022)
by: Zhang, Da-jun, et al.
Published: (2022)
Semiclassical dynamics and coherent soliton ensembles in the derivative nonlinear Schrödinger equation with periodic initial conditions
by: Wolski, Zachery, et al.
Published: (2025)
by: Wolski, Zachery, et al.
Published: (2025)
Fokas-Lenells Derivative nonlinear Schrödinger equation its associated soliton surfaces and Gaussian curvature
by: Talukdar, Sagardeep, et al.
Published: (2024)
by: Talukdar, Sagardeep, et al.
Published: (2024)
Rogue wave patterns associated with Adler--Moser polynomials featuring multiple roots in the nonlinear Schrödinger equation
by: Lin, Huian, et al.
Published: (2024)
by: Lin, Huian, et al.
Published: (2024)
Inverse scattering transform for continuous and discrete space-time shifted integrable equations
by: Ablowitz, Mark J., et al.
Published: (2023)
by: Ablowitz, Mark J., et al.
Published: (2023)
Vector rogue wave patterns of the multi-component nonlinear Schrödinger equation and generalized mixed Adler--Moser polynomials
by: Lin, Huian, et al.
Published: (2025)
by: Lin, Huian, et al.
Published: (2025)
The integrable hierarchy and the nonlinear Riemann-Hilbert problem associated with one typical Einstein-Weyl physico-geometric dispersionless system
by: Yi, Ge, et al.
Published: (2024)
by: Yi, Ge, et al.
Published: (2024)
Inverse scattering transform for the focusing two-component Hirota equation with nonzero boundary conditions
by: Zhang, Feng, et al.
Published: (2025)
by: Zhang, Feng, et al.
Published: (2025)
Inverse scattering theory for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under arbitrarily large nonzero boundary conditions
by: Xu, Chuanxin, et al.
Published: (2026)
by: Xu, Chuanxin, et al.
Published: (2026)
Higher symmetries of the lattices in 3D
by: Habibullin, I. T., et al.
Published: (2024)
by: Habibullin, I. T., et al.
Published: (2024)
The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources
by: Cui, Mengyuan, et al.
Published: (2024)
by: Cui, Mengyuan, et al.
Published: (2024)
A simple approach to identify systems of nonlinear recursions featuring solutions whose evolution is explicitly ascertainable and which may be asymptotically isochronous as functions of the independent variable (a ticking time)
by: Calogero, Francesco
Published: (2024)
by: Calogero, Francesco
Published: (2024)
From one to infinity: symmetries of integrable systems
by: Lou, S. Y., et al.
Published: (2023)
by: Lou, S. Y., et al.
Published: (2023)
Similar Items
-
Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
by: Euler, Marianna, et al.
Published: (2024) -
Two sequences of fully-nonlinear evolution equations and their symmetry properties
by: Euler, Marianna, et al.
Published: (2025) -
On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
by: Euler, Marianna, et al.
Published: (2024) -
On differential equations invariant under a projective transformation group: integrability and reductions
by: Euler, Marianna, et al.
Published: (2025) -
Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies
by: Euler, Marianna, et al.
Published: (2025)