Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction
Fuente:
arXiv
Saved in:
| Main Authors: | Rogers, Colin, Briozzo, Adriana C. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
by: Rogers, Colin, et al.
Published: (2025)
by: Rogers, Colin, et al.
Published: (2025)
Hybrid Ermakov-Ray-Reid/Painlevé II Symmetry Reduction: Application to a Class of Moving Boundary Problems
by: Rogers, Colin, et al.
Published: (2026)
by: Rogers, Colin, et al.
Published: (2026)
Invariant measures for mKdV and KdV in infinite volume
by: Forlano, Justin, et al.
Published: (2024)
by: Forlano, Justin, et al.
Published: (2024)
Growth of Fourier--Lebesgue norms for mKdV
by: Haque, Saikatul, et al.
Published: (2025)
by: Haque, Saikatul, et al.
Published: (2025)
Uniform well-posedness and Inviscid limit for the KdV-Burgers and mKdV-Burgers equations on $\mathbb{T}$
by: Li, Xintong, et al.
Published: (2025)
by: Li, Xintong, et al.
Published: (2025)
A class of moving boundary problems with an exponential source term
by: Bollati, Julieta, et al.
Published: (2025)
by: Bollati, Julieta, et al.
Published: (2025)
A finite difference scheme for smooth solutions of the general mKdV equation
by: Noyola-Rodriguez, Jesus, et al.
Published: (2024)
by: Noyola-Rodriguez, Jesus, et al.
Published: (2024)
Complex-valued solutions of the mKdV equations in generalized Fourier-Lebesgue spaces
by: Chen, Zijun, et al.
Published: (2024)
by: Chen, Zijun, et al.
Published: (2024)
A discretisation of the Ermakov-Painlevé II equation: Dirichlet and Robin-type boundary value problems
by: Amster, Pablo, et al.
Published: (2025)
by: Amster, Pablo, et al.
Published: (2025)
Global well-posedness and equicontinuity for mKdV in modulation spaces
by: Haque, Saikatul, et al.
Published: (2024)
by: Haque, Saikatul, et al.
Published: (2024)
Low-regularity invariant measure for the complex-valued mKdV
by: Lee, Zachary, et al.
Published: (2026)
by: Lee, Zachary, et al.
Published: (2026)
Long-time asymptotics of the defocusing mKdV equation with step initial data
by: Wang, Deng-Shan, et al.
Published: (2025)
by: Wang, Deng-Shan, et al.
Published: (2025)
A continuum of invariant measures for the periodic KdV and mKdV equations
by: Chapouto, Andreia, et al.
Published: (2023)
by: Chapouto, Andreia, et al.
Published: (2023)
Nonlinear wave solution to a coupled mKdV equations with variable coefficients
by: Wu, Wenjuan
Published: (2025)
by: Wu, Wenjuan
Published: (2025)
Focusing mKdV equation: Two-phase solutions and their stability analysis
by: Ling, Liming, et al.
Published: (2025)
by: Ling, Liming, et al.
Published: (2025)
Long time decay and asymptotics for the complex mKdV equation
by: Stewart, Gavin
Published: (2021)
by: Stewart, Gavin
Published: (2021)
Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition
by: Briozzo, Adriana C.
Published: (2024)
by: Briozzo, Adriana C.
Published: (2024)
Bright and dark breathers on an elliptic wave in the defocusing mKdV equation
by: Pelinovsky, Dmitry E., et al.
Published: (2025)
by: Pelinovsky, Dmitry E., et al.
Published: (2025)
Evolution of the radius of analyticity for mKdV-type equations
by: Figueira, Renata O., et al.
Published: (2026)
by: Figueira, Renata O., et al.
Published: (2026)
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation
by: Lu, Lin, et al.
Published: (2025)
by: Lu, Lin, 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)
by: Weng, Weifang, et al.
Published: (2024)
Lie symmetry method for a nonlinear heat-diffusion equation
by: Bollati, Julieta, et al.
Published: (2026)
by: Bollati, Julieta, et al.
Published: (2026)
Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$
by: Harrop-Griffiths, Benjamin, et al.
Published: (2020)
by: Harrop-Griffiths, Benjamin, et al.
Published: (2020)
On the large-time asymptotics of the defocusing mKdV equation with step-like initial data
by: Xu, Taiyang, et al.
Published: (2022)
by: Xu, Taiyang, et al.
Published: (2022)
An Extended Modified Kadomtsov-Petviashvili Equation: Ermakov-Painlevé II Symmetry Reduction with Moving Boundary Application
by: Rogers, Colin, et al.
Published: (2026)
by: Rogers, Colin, et al.
Published: (2026)
Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition
by: Kato, Takamori, et al.
Published: (2023)
by: Kato, Takamori, et al.
Published: (2023)
Cancellation properties and unconditional well-posedness for fifth order modified KdV type equations with periodic boundary conditions
by: Kato, Takamori, et al.
Published: (2025)
by: Kato, Takamori, et al.
Published: (2025)
Long time asymptotics of a perturbed modified KdV equation
by: Chen, Gong, et al.
Published: (2025)
by: Chen, Gong, et al.
Published: (2025)
On the wave turbulence theory for a stochastic KdV type equation
by: Staffilani, Gigliola, et al.
Published: (2021)
by: Staffilani, Gigliola, et al.
Published: (2021)
An analysis of the entire functions associated with the operator of the KdV equation
by: Filho, Roberto de A. Capistrano, et al.
Published: (2025)
by: Filho, Roberto de A. Capistrano, et al.
Published: (2025)
Well-posedness for KdV-type equations with quadratic nonlinearity
by: Hirayama, Hiroyuki, et al.
Published: (2018)
by: Hirayama, Hiroyuki, et al.
Published: (2018)
Improved lower bound for the radius of analyticity for the modified KdV equation
by: Figueira, Renata O., et al.
Published: (2024)
by: Figueira, Renata O., et al.
Published: (2024)
Painlevé transcendents in the defocusing mKdV equation with non-zero boundary conditions
by: Wang, Zhaoyu, et al.
Published: (2023)
by: Wang, Zhaoyu, et al.
Published: (2023)
Carleman estimates for third order operators of KdV and non KdV-type and applications
by: Federico, Serena
Published: (2024)
by: Federico, Serena
Published: (2024)
Well-posedness and invariant measures for complex valued modified KdV equation
by: Kenig, Carlos E., et al.
Published: (2025)
by: Kenig, Carlos E., et al.
Published: (2025)
Long-time asymptotics of the KdV equation with delta function initial profile
by: Liu, Xuliang, et al.
Published: (2025)
by: Liu, Xuliang, 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)
by: Zhang, Zechuan, et al.
Published: (2021)
Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations
by: Bhandari, Kuntal, et al.
Published: (2022)
by: Bhandari, Kuntal, et al.
Published: (2022)
The Benjamin-Feir instability in KdV-like equations with general dispersion and monomial nonlinearity
by: Kaushik, Bhavna, et al.
Published: (2026)
by: Kaushik, Bhavna, et al.
Published: (2026)
Full range of infinite point blow-up exponents for the critical generalized KdV equation
by: Manatova, Nailya
Published: (2025)
by: Manatova, Nailya
Published: (2025)
Similar Items
-
Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
by: Rogers, Colin, et al.
Published: (2025) -
Hybrid Ermakov-Ray-Reid/Painlevé II Symmetry Reduction: Application to a Class of Moving Boundary Problems
by: Rogers, Colin, et al.
Published: (2026) -
Invariant measures for mKdV and KdV in infinite volume
by: Forlano, Justin, et al.
Published: (2024) -
Growth of Fourier--Lebesgue norms for mKdV
by: Haque, Saikatul, et al.
Published: (2025) -
Uniform well-posedness and Inviscid limit for the KdV-Burgers and mKdV-Burgers equations on $\mathbb{T}$
by: Li, Xintong, et al.
Published: (2025)