Buchumschlag

Inverse scattering transform for the focusing two-component Hirota equation with nonzero boundary conditions

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Zhang, Feng, Han, Pengfei, Zhang, Yi
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Exactly Solvable and Integrable Systems
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-parallel boundary conditions at infinity
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

Defocusing Hirota equation with fully asymmetric non-zero boundary conditions: the inverse scattering transform
von: Ye, Rusuo, et al.
Veröffentlicht: (2024)

Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions: double-pole solutions
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

Inverse scattering transform for the discrete nonlocal PT symmetric nonlinear Schrödinger equation with nonzero boundary conditions
von: Liu, Ya-Hui, et al.
Veröffentlicht: (2024)

Inverse scattering theory for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under arbitrarily large nonzero boundary conditions
von: Xu, Chuanxin, et al.
Veröffentlicht: (2026)

Miura transformations and large-time behaviors of the Hirota-Satsuma equation
von: Wang, Deng-Shan, et al.
Veröffentlicht: (2024)

Painlevé-type asymptotics for the defocusing Manakov system with nonzero boundary conditions
von: Zhang, Haibing, et al.
Veröffentlicht: (2026)

Inverse scattering transform for continuous and discrete space-time shifted integrable equations
von: Ablowitz, Mark J., et al.
Veröffentlicht: (2023)

Two types of elliptic dark soliton solutions for the Hirota equation
von: Huang, Qiaofeng, et al.
Veröffentlicht: (2025)

On a two-component Camassa-Holm equation
von: Zhang, Zixing, et al.
Veröffentlicht: (2024)

Spectral theory for non-self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the focusing nonlinear Schrödinger equation with periodic boundary conditions
von: Biondini, Gino, et al.
Veröffentlicht: (2025)

The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach
von: Zhang, Da-jun, et al.
Veröffentlicht: (2022)

Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under non-zero boundary conditions
von: Xu, Chuanxin, et al.
Veröffentlicht: (2025)

Higher order Hirota bilinear forms
von: Gürses, Metin, et al.
Veröffentlicht: (2025)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
von: Li, Yue, et al.
Veröffentlicht: (2025)

The Riemann-Hilbert approach for the nonlocal derivative nonlinear Schrödinger equation with nonzero boundary conditions
von: Liu, Xin-Yu, et al.
Veröffentlicht: (2024)

Spectral theory for self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the defocusing nonlinear Schroedinger equation with periodic boundary conditions
von: Biondini, Gino, et al.
Veröffentlicht: (2023)

Bilinearization-reduction approach to the classical and nonlocal semi-discrete modified Korteweg-de Vries equations with nonzero backgrounds
von: Deng, Xiao, et al.
Veröffentlicht: (2024)

General soliton solutions to the coupled Hirota equation via the Kadomtsev-Petviashvili reduction
von: Shi, Changyan, et al.
Veröffentlicht: (2025)

Investigation of shallow water waves near the coast or in lake environments via the KdV-Calogero-Bogoyavlenskii-Schiff equation
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

Integrable boundary conditions for the nonlinear Schrödinger hierarchy
von: Xia, Baoqiang
Veröffentlicht: (2025)

Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions
von: Hori, Ayako, et al.
Veröffentlicht: (2025)

Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions
von: Shi, Changyan, et al.
Veröffentlicht: (2026)

Sundman-like transformations and the NRT nonlinear Schrödinger equation
von: Gordoa, P. R., et al.
Veröffentlicht: (2025)

Semiclassical dynamics and coherent soliton ensembles in the derivative nonlinear Schrödinger equation with periodic initial conditions
von: Wolski, Zachery, et al.
Veröffentlicht: (2025)

On one typical Einstein-Weyl equation: inverse spectral transform for theCauchy problem, longtime behaviour of the solutions and implicit solutions
von: Yi, Ge, et al.
Veröffentlicht: (2025)

Numerical inverse scattering transform for the coupled modified Korteweg-de Vries equation
von: Zhang, Wen-Xin, et al.
Veröffentlicht: (2026)

The extended versions of the noncommutative KP and mKP equations and Miura transformation
von: Kashif, Muhammad, et al.
Veröffentlicht: (2024)

Integrable boundary conditions for quad equations, open boundary reductions and integrable mappings
von: Caudrelier, Vincent, et al.
Veröffentlicht: (2020)

The integrable semi-discrete nonlinear Schrödinger equations with nonzero backgrounds: Bilinearization-reduction approach
von: Deng, Xiao, et al.
Veröffentlicht: (2024)

On differential equations invariant under a projective transformation group: integrability and reductions
von: Euler, Marianna, et al.
Veröffentlicht: (2025)

Bilinear structures of the fourth-order lattice Gel'fand-Dikii equations
von: Zhao, Song-lin, et al.
Veröffentlicht: (2025)

Localized stem structures in quasi-resonant two-soliton solutions for the asymmetric Nizhnik-Novikov-Veselov system
von: Yuan, Feng, et al.
Veröffentlicht: (2024)

Vector rogue wave patterns of the multi-component nonlinear Schrödinger equation and generalized mixed Adler--Moser polynomials
von: Lin, Huian, et al.
Veröffentlicht: (2025)

Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation
von: Morozov, Oleg I.
Veröffentlicht: (2023)

Electric network and Hirota type $4$-simplex maps
von: Konstantinou-Rizos, S.
Veröffentlicht: (2023)

Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
von: Zhao, Song-lin, et al.
Veröffentlicht: (2024)

From fully-nonlinear to semilinear evolution equations: two symmetry-integrable examples
von: Euler, Marianna, et al.
Veröffentlicht: (2025)

Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schrödinger equation
von: Deng, Zixuan, et al.
Veröffentlicht: (2026)