Imagen de Portada

Soliton resolution and asymptotic stability of $N$-soliton solutions for the defocusing mKdV equation with a non-vanishing background

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Zhang, Zechuan, Xu, Taiyang, Fan, Engui
Formato:	Preprint
Publicado:	2021
Materias:	Analysis of PDEs Mathematical Physics 35Q51, 35Q15, 35C20, 37K15, 37K40
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

On the large-time asymptotics of the defocusing mKdV equation with step-like initial data
por: Xu, Taiyang, et al.
Publicado: (2022)

Soliton resolution and asymptotic stability of $N$-solitons to the Degasperis-Procesi equation on the line
por: Zhou, Xuan, et al.
Publicado: (2022)

A modified Korteweg-de Vries equation soliton gas under the nonzero background
por: Zhang, Xiaoen, et al.
Publicado: (2024)

Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the $L^2$ Space
por: Yang, Yiling, et al.
Publicado: (2024)

Painlevé Asymptotics of the Focusing Nonlinear Schrödinger Equation with a Finite-Genus Algebro-Geometric Background
por: ma, Ruihong, et al.
Publicado: (2026)

A Riemann-Hilbert approach to the two-component modified Camassa-Holm equation
por: Xu, Kai, et al.
Publicado: (2024)

Painlevé transcendents in the defocusing mKdV equation with non-zero boundary conditions
por: Wang, Zhaoyu, et al.
Publicado: (2023)

On zero-background solitons of the sharp-line Maxwell-Bloch equations
por: Li, Sitai
Publicado: (2024)

Global existence of the solution of the modified Camassa-Holm equation with step-like boundary conditions
por: Karpenko, I., et al.
Publicado: (2025)

Asymptotic stability of smooth solitons and multi-solitons for the Camassa--Holm equation
por: Chen, Robin Ming, et al.
Publicado: (2026)

A nonlocal coupled modified complex integrable dispersionless equation: Darboux transformation, soliton-type solutions and its asymptotic behavior
por: Sun, Hong-Qian, et al.
Publicado: (2025)

General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computation
por: Bilman, Deniz, et al.
Publicado: (2024)

Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
por: Donmazov, Samir, et al.
Publicado: (2024)

Analyzing the relationship between infinite symmetries and $N$-soliton solutions in the AKNS system
por: Hao, Xiazhi, et al.
Publicado: (2025)

Large-space and long-time asymptotic behaviors of $N_{\infty}$-soliton solutions (soliton gas) for the focusing Hirota equation
por: Weng, Weifang, et al.
Publicado: (2024)

The modified Camassa-Holm equation on the half line: a Riemann--Hilbert approach
por: Karpenko, Iryna, et al.
Publicado: (2025)

Painlevé Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System
por: Demir, Taylan
Publicado: (2025)

Estimates for the Gross-Pitaevskii equation linearized around a vortex
por: Collot, Charles, et al.
Publicado: (2025)

Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution
por: Gassot, Louise, et al.
Publicado: (2026)

On the non-chiral intermediate long wave equation
por: Berntson, Bjorn K., et al.
Publicado: (2020)

A proof of the soliton resolution conjecture for the Benjamin--Ono equation
por: Gassot, Louise, et al.
Publicado: (2026)

Transient asymptotics of the modified Camassa-Holm equation
por: Xu, Taiyang, et al.
Publicado: (2023)

$\bar{\partial}$-problem for focusing nonlinear Schrödinger equation and soliton shielding
por: Bertola, Marco, et al.
Publicado: (2024)

Numerical inverse scattering transform for the defocusing nonlinear Schrödinger equation with box-type initial conditions on a nonzero background
por: Gkogkou, Aikaterini, et al.
Publicado: (2024)

Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
por: Shepelsky, Dmitry, et al.
Publicado: (2023)

The Cauchy problem for the Degasperis-Procesi Equation: Painlevé Asymptotics in Transition Zones
por: Wang, Zhaoyu, et al.
Publicado: (2024)

Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
por: Deng, Xijun, et al.
Publicado: (2025)

On the defocusing stationary nonlinear Schrödinger equation on metric graphs
por: Durand-Simonnet, Élio, et al.
Publicado: (2026)

The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach
por: de Monvel, Anne Boutet, et al.
Publicado: (2025)

An Explicit Formula for the Benjamin-Ono Hierarchy with Applications to Traveling Waves and Zero-Dispersion Limits
por: Gérard, Patrick, et al.
Publicado: (2026)

Collisional Dynamics of Solitons and Pattern Formation in an Integrable Cross Coupled Nonlinear Schrodinger equation with constant background
por: Vinayagam, P. S., et al.
Publicado: (2024)

Instability of two-pulse periodic waves with long wavelength in some Hamiltonian PDEs
por: Courant, Thomas
Publicado: (2026)

Nanoptera In Higher-Order Nonlinear Schrödinger Equations: Effects Of Discretization
por: Moston-Duggan, Aaron J., et al.
Publicado: (2022)

The modified Novikov-Veslov Equation and the Inverse Scattering Transform
por: Perry, Peter A.
Publicado: (2025)

Direct Scattering of the Focusing Nonlinear Schrödinger Equation with Step-like Oscillatory Initial Data
por: Grava, Tamara, et al.
Publicado: (2026)

Infinite-order rogue waves that are small (but not small in $L^2$)
por: Bilman, Deniz, et al.
Publicado: (2025)

Solutions of generalized constrained discrete KP hierarchy
por: Mu, Xuepu, et al.
Publicado: (2024)

Soliton resolution for Calogero--Moser derivative nonlinear Schrödinger equation
por: Kim, Taegyu, et al.
Publicado: (2024)

On the stability of solutions to non-Newtonian Navier--Stokes--Fourier-like systems in the supercritical case
por: Abbatiello, Anna, et al.
Publicado: (2026)

Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation
por: Desiraju, Harini, et al.
Publicado: (2024)