Cover Image

The Painlevé-type asymptotics of defocusing complex mKdV equation with finite density initial data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wen, Lili, Fan, Engui
Format:	Preprint
Published:	2023
Subjects:	Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Long-time asymptotics of the defocusing mKdV equation with step initial data
by: Wang, Deng-Shan, et al.
Published: (2025)

Soliton resolution and asymptotic stability of $N$-soliton solutions for the defocusing mKdV equation with a non-vanishing background
by: Zhang, Zechuan, et al.
Published: (2021)

Painlevé XXXIV Asymptotics for the Focusing mKdV Equation with Finite-Genus Background and Discrete Spectrum
by: Ma, Ruihong, et al.
Published: (2026)

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

Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
by: Fan, Engui, et al.
Published: (2026)

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

Soliton resolution, asymptotic stability and Painlevé transcendents in the combined Wadati-Konno-Ichikawa and short-pulse equation
by: Zhang, Yidan, et al.
Published: (2025)

Travelling-wave solutions and solitons of KdV, mKdV and NLS equations
by: Chatterjee, Supriya, et al.
Published: (2025)

Soliton Shielding of the focusing modified KdV equation
by: Ma, Ruihong, et al.
Published: (2024)

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)

Spectral problem for the complex mKdV equation: singular manifold method and Lie symmetries
by: Albares, Paz, et al.
Published: (2023)

Soliton solutions to the coupled Sasa-Satsuma-mKdV equation
by: Shi, Changyan, et al.
Published: (2026)

Complex Solitary Waves and Soliton Trains in KdV and mKdV Equations
by: Modak, Subhrajit, et al.
Published: (2015)

Focusing mKdV equation: Two-phase solutions and their stability analysis
by: Ling, Liming, et al.
Published: (2025)

A new asymptotic regime for the KdV equation with Wigner-von Neumann type initial data
by: Rybkin, Alexei
Published: (2025)

Soliton resolution and asymptotic stability of $N$-loop-soliton solutions for the Ostrovsky-Vakhnenko equation
by: Ma, Ruihong, et al.
Published: (2023)

Interactions of soliton and mean field in KdV equation with well type initial data
by: Gong, Ruizhi, et al.
Published: (2024)

Solutions to an autonomous discrete KdV equation via Painlevé-type ordinary difference equations
by: Nakazono, Nobutaka
Published: (2025)

On the inverse scattering transform for the KdV equation with summable initial data
by: Rybkin, Alexei
Published: (2026)

Long time decay and asymptotics for the complex mKdV equation
by: Stewart, Gavin
Published: (2021)

Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations
by: Cafasso, Mattia, et al.
Published: (2020)

Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation
by: Lu, Lin, et al.
Published: (2025)

Nonlinearization of the KdV-type and mKdV-type bilinear equations
by: Zhang, Xin, et al.
Published: (2025)

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

Stochastic Analysis of Fifth-Order KdV Soliton in Damping Regime and Reduction to Painlevé Second Equation
by: Mahmood, Irfan, et al.
Published: (2026)

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

N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited
by: Sandra Carillo, et al.
Published: (2025)

Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
by: Claeys, Tom, et al.
Published: (2023)

A Novel Approach to find Exact Solutions of Nonlinear ODE Systems: Applications to Coupled Non-Integrable and Integrable mKdV Equations
by: Das, Prakash Kumar
Published: (2025)

Existence of global solutions to the Fokas-Lenells equation with arbitrary spectral singularities
by: Li, Yuan, et al.
Published: (2025)

A dense focusing Ablowitz-Ladik soliton gas and its asymptotics
by: Chen, Meisen, et al.
Published: (2026)

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

Evolution of the radius of analyticity for mKdV-type equations
by: Figueira, Renata O., et al.
Published: (2026)

Weak compactons of nonlinearly dispersive KdV and KP equations
by: Anco, Stephen C., et al.
Published: (2024)

Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion term
by: Fan, Engui, et al.
Published: (2025)

Trace formulas revisited and a new representation of KdV solutions with short-range initial data
by: Rybkin, Alexei
Published: (2023)

On Cauchy problem to the modified Camassa-Holm equation: Painlevé asymptotics
by: Tong, Jia-Fu, et al.
Published: (2025)

Genus two KdV soliton gases and their long-time asymptotics
by: Wang, Deng-Shan, et al.
Published: (2024)

Multivariable Painleve'-II equation: connection formulas for asymptotic solutions
by: Sinitsyn, N. A.
Published: (2026)