Cover Image

Arbitrary-genus dark soliton gases in the defocusing nonlinear Schrödinger hydrodynamics

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bertola, Marco, Wang, Deng-Shan, Yan, Peng, Zhu, Dinghao
Format:	Preprint
Published:	2026
Subjects:	Mathematical Physics Analysis of PDEs Pattern Formation and Solitons Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integrable perturbation theory for dark solitons of the defocusing nonlinear Schrödinger equation
by: Ossi, Nicholas J., et al.
Published: (2025)

Modulation theory of soliton-mean flow in KdV equation with box type initial data
by: Gong, Ruizhi, et al.
Published: (2024)

The formation of a soliton gas condensate for the focusing Nonlinear Schrödinger equation
by: Gkogkou, Aikaterini, et al.
Published: (2025)

Shielding of breathers for the focusing nonlinear Schrödinger equation
by: Falqui, Gregorio, et al.
Published: (2024)

Rigorous analysis of large-space and long-time asymptotics for the short-pulse soliton gases
by: Zhang, Guoqiang, et al.
Published: (2025)

Law of Large Numbers and Central Limit Theorem for random sets of solitons of the focusing nonlinear Schrödinger equation
by: Girotti, Manuela, et al.
Published: (2024)

Long-time asymptotics for the $N_{\infty}$-soliton solution to the KdV equation with two types of generalized reflection coefficients
by: Zhang, Guoqiang, et al.
Published: (2025)

Algebraic solitons in the massive Thirring model
by: Han, Jiaqi, et al.
Published: (2024)

Exponential and algebraic double-soliton solutions of the massive Thirring model
by: Li, Zhi-Qiang, et al.
Published: (2024)

Rigorous asymptotic analysis for the Riemann problem of the defocusing nonlinear Schrödinger hydrodynamics
by: Wang, Deng-Shan, et al.
Published: (2023)

Bright and dark breathers on an elliptic wave in the defocusing mKdV equation
by: Pelinovsky, Dmitry E., et al.
Published: (2025)

The focusing complex mKdV equation with nonzero background: Large $N$-order asymptotics of multi-rational solitons and related Painlevé-III hierarchy
by: Weng, Weifang, et al.
Published: (2024)

Stability analysis of breathers for coupled nonlinear Schrodinger equations
by: Ling, Liming, et al.
Published: (2024)

Robustness of the solitons against perturbations in certain nonlocal nonlinear Schrödinger type equations in Nonlinear Physics
by: Sreelakshmi, M. D., et al.
Published: (2025)

Kink breathers on a traveling wave background in the defocusing modified Korteweg--de Vries equation
by: Arruda, Lynnyngs Kelly, et al.
Published: (2025)

Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation
by: Congy, T., et al.
Published: (2022)

Rational solutions for algebraic solitons in the massive Thirring model
by: Zhao, Zhen, et al.
Published: (2026)

Riemann problem for polychromatic soliton gases: a testbed for the spectral kinetic theory
by: Congy, T., et al.
Published: (2024)

Breather-to-soliton transitions and nonlinear wave interactions for the higher-order generalized Gerdjikov-Ivanov equation
by: Wang, Yanan, et al.
Published: (2025)

Integrable discretization of the vector/matrix nonlinear Schrödinger equation and the associated Yang-Baxter map
by: Tsuchida, Takayuki
Published: (2015)

Kink-antikink soliton solutions of the nonlinear Klein-Gordon equation on branched structures
by: Asadov, Q. U., et al.
Published: (2025)

Spectral theory of soliton gases for the defocusing NLS equation
by: Tovbis, Alexander, et al.
Published: (2025)

Breather gas and shielding for the focusing nonlinear Schrödinger equation with nonzero backgrounds
by: Weng, Weifang, et al.
Published: (2025)

Traveling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media
by: Dohnal, Tomas, et al.
Published: (2023)

Hamiltonian aspects of the kinetic equation for soliton gas
by: Vergallo, Pierandrea, et al.
Published: (2024)

Nondegenerate Akhmediev breathers and abnormal frequency jumping in multicomponent nonlinear Schrödinger equations
by: Chen, Shao-Chun, et al.
Published: (2025)

Rogue wave patterns associated with Adler Moser polynomials in the nonlocal nonlinear Schrödinger equation
by: Wang, Tingyou, et al.
Published: (2025)

Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation
by: Han, Guangfu, et al.
Published: (2025)

Beating solitons with nonzero relative wavenumber, their interaction, and coexistence with Akhmediev breathers
by: Che, Wen-Juan, et al.
Published: (2025)

Linear interference and systematic soliton shape modulation by engineering plane wave background and soliton parameters
by: Talukdar, Sagardeep, et al.
Published: (2023)

PT-symmetric branched optical lattices: Spectral properties and stability of solitons
by: Tojakhmadova, O. K., et al.
Published: (2026)

Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background
by: Monisha, S., et al.
Published: (2024)

Exact solitary wave solutions for a coupled gKdV-Schrodinger system by a new ODE reduction method
by: Anco, Stephen C., et al.
Published: (2024)

A corresponding relationship between nonlinear Hermitian systems and linear non-Hermitian models
by: Wang, Yu-Hao, et al.
Published: (2025)

On smooth and peaked traveling waves in a local model for shallow water waves
by: Locke, Spencer, et al.
Published: (2024)

Instability of the peaked traveling wave in a local model for shallow water waves
by: Natali, Fábio, et al.
Published: (2025)

Instability bands for periodic traveling waves in the modified Korteweg-de Vries equation
by: Cui, Shikun, et al.
Published: (2025)

Traveling periodic waves and breathers in the nonlocal derivative NLS equation
by: Chen, Jinbing, et al.
Published: (2025)

Stability of standing periodic waves in the massive Thirring model
by: Cui, Shikun, et al.
Published: (2024)

Asymptotic integrability of nonlinear wave equations
by: Kamchatnov, A. M.
Published: (2024)