Well-posed Cauchy problem and the Hamiltonian form of (2+1) nonlinear equations integrable by inverse scattering transform
Fuente:
arXiv
Saved in:
| Main Author: | Nizhnik, Leonid |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
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 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)
A modified Korteweg-de Vries equation soliton gas under the nonzero background
by: Zhang, Xiaoen, et al.
Published: (2024)
by: Zhang, Xiaoen, et al.
Published: (2024)
Collisional Dynamics of Solitons and Pattern Formation in an Integrable Cross Coupled Nonlinear Schrodinger equation with constant background
by: Vinayagam, P. S., et al.
Published: (2024)
by: Vinayagam, P. S., 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)
The inverse scattering theory of Kadomtsev-Petviashvili II equations
by: Wu, Derchyi
Published: (2024)
by: Wu, Derchyi
Published: (2024)
Inverse scattering method for an integrable system of derivative nonlinear Schrödinger equations
by: Unlu, Mehmet
Published: (2025)
by: Unlu, Mehmet
Published: (2025)
Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations
by: Igonin, Sergei
Published: (2024)
by: Igonin, Sergei
Published: (2024)
The tau functions of the constrained CKP hierarchy
by: Chen, Danqi, et al.
Published: (2026)
by: Chen, Danqi, et al.
Published: (2026)
Analyzing the relationship between infinite symmetries and $N$-soliton solutions in the AKNS system
by: Hao, Xiazhi, et al.
Published: (2025)
by: Hao, Xiazhi, 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)
3D-consistency of negative flows
by: Adler, V. E.
Published: (2024)
by: Adler, V. E.
Published: (2024)
$\bar{\partial}$-problem for focusing nonlinear Schrödinger equation and soliton shielding
by: Bertola, Marco, et al.
Published: (2024)
by: Bertola, Marco, et al.
Published: (2024)
Robust Dynamics of Rogue waves, Breathers and Mixed Bound State Solutions in Spin-Orbit and Rabi Coupled Condensates
by: Vinayagam, P. S., et al.
Published: (2024)
by: Vinayagam, P. S., et al.
Published: (2024)
Cauchy matrix structures and solutions to the nonisospectral three-component mKdV equations
by: Tian, Mengli, et al.
Published: (2025)
by: Tian, Mengli, et al.
Published: (2025)
Discrete Nonlinear Schrödinger versus Ablowitz-Ladik: Existence and dynamics of generalized focusing NLS-type lattices over a nonzero background
by: Hennig, Dirk, et al.
Published: (2025)
by: Hennig, Dirk, et al.
Published: (2025)
Higher-order integrable models for oceanic internal wave-current interactions
by: Henry, David, et al.
Published: (2024)
by: Henry, David, et al.
Published: (2024)
Toda Darboux transformations and vacuum expectation values
by: Wang, Chengwei, et al.
Published: (2024)
by: Wang, Chengwei, et al.
Published: (2024)
General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computation
by: Bilman, Deniz, et al.
Published: (2024)
by: Bilman, Deniz, et al.
Published: (2024)
The gauge action on semi-discrete Lax representations and its invariants
by: Igonin, Sergei
Published: (2026)
by: Igonin, Sergei
Published: (2026)
One reduction of the modified Toda hierarchy
by: Wang, Jinbiao, et al.
Published: (2025)
by: Wang, Jinbiao, et al.
Published: (2025)
Transformations of the 2-component BKP tau functions
by: Chen, Mengyao, et al.
Published: (2025)
by: Chen, Mengyao, et al.
Published: (2025)
Lax formulation of 3--component KP hierarchy by Shiota construction
by: Cui, Tongtong, et al.
Published: (2024)
by: Cui, Tongtong, et al.
Published: (2024)
Generalized Bigraded Toda Hierarchy
by: Liu, Yue, et al.
Published: (2024)
by: Liu, Yue, et al.
Published: (2024)
On some linear equations associated with dispersionless integrable systems
by: Bogdanov, L. V.
Published: (2024)
by: Bogdanov, L. V.
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)
Painlevé Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System
by: Demir, Taylan
Published: (2025)
by: Demir, Taylan
Published: (2025)
Solutions of generalized constrained discrete KP hierarchy
by: Mu, Xuepu, et al.
Published: (2024)
by: Mu, Xuepu, et al.
Published: (2024)
Long time asymptotics for the KPII equation
by: Wu, Derchyi
Published: (2025)
by: Wu, Derchyi
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)
On vector Schwarz-KdV equation
by: Balakhev, M., et al.
Published: (2025)
by: Balakhev, M., et al.
Published: (2025)
Simplifications of Lax pairs for differential-difference equations by gauge transformations and (doubly) modified integrable equations
by: Igonin, Sergei
Published: (2024)
by: Igonin, Sergei
Published: (2024)
On the Moutard transformation singularity for the Davey--Stewartson II equation
by: Huang, Yi C.
Published: (2025)
by: Huang, Yi C.
Published: (2025)
Algebro-geometric integration to the discrete Chen-Lee-Liu system
by: Xu, Xiaoxue, et al.
Published: (2025)
by: Xu, Xiaoxue, et al.
Published: (2025)
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)
Nonlocal conservation laws of the constant astigmatism equation
by: Hlaváč, Adam, et al.
Published: (2016)
by: Hlaváč, Adam, et al.
Published: (2016)
Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability
by: Ivanov, Rossen I.
Published: (2024)
by: Ivanov, Rossen I.
Published: (2024)
On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
by: Karachalios, Nikos I., et al.
Published: (2025)
by: Karachalios, Nikos I., et al.
Published: (2025)
A vectorial Darboux transformation for integrable matrix versions of the Fokas-Lenells equation
by: Müller-Hoissen, Folkert, et al.
Published: (2025)
by: Müller-Hoissen, Folkert, et al.
Published: (2025)
Similar Items
-
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) -
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) -
The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach
by: de Monvel, Anne Boutet, et al.
Published: (2025) -
A modified Korteweg-de Vries equation soliton gas under the nonzero background
by: Zhang, Xiaoen, et al.
Published: (2024) -
Collisional Dynamics of Solitons and Pattern Formation in an Integrable Cross Coupled Nonlinear Schrodinger equation with constant background
by: Vinayagam, P. S., et al.
Published: (2024)