Cover Image

Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pilod, Didier, Valet, Frédéric
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 37K40, 37K45, 35Q53, 35B40, 35C08, 35Q60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation
by: Pilod, Didier, et al.
Published: (2023)

Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation
by: Farah, Luiz Gustavo, et al.
Published: (2018)

Numerical study of a nonlocal nonlinear Schrödinger equation (MMT model)
by: Esfahani, Amin, et al.
Published: (2025)

A monotonicity formula for the fractional Laplacian and instability results for the Shrira equation
by: Méndez, Argenis J., et al.
Published: (2025)

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

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

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

Construction of minimizing travelling waves for the Gross-Pitaevskii equation on $\mathbb{R} \times \mathbb{T}$
by: de Laire, André, et al.
Published: (2023)

Periodic FPU system: Continuum limit to KdV via regularization and Fourier analysis
by: Kwak, Chulkwang, et al.
Published: (2025)

The zero-dispersion limit for the Benjamin--Ono equation on the circle
by: Mæhlen, Ola
Published: (2025)

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

Soliton resolution for equivariant self-dual Chern-Simons-Schrödinger equation in weighted Sobolev class
by: Kim, Kihyun, et al.
Published: (2022)

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

On the algebraic lower bound for the radius of spatial analyticity for the Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations
by: Baldasso, Mikaela, et al.
Published: (2024)

On local energy decay for solutions to the b-family of peakon equations
by: Hong, Christian
Published: (2024)

Scattering for the dispersion managed nonlinear Schrödinger equation
by: Choi, Mi-Ran, et al.
Published: (2024)

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

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)

Orbital stability of black solitons for quasilinear Schrödinger equations with nonzero conditions at infinity
by: Quiniou, Erwan Le
Published: (2026)

Well-posedness and long-term behaviour for a troposphere wave propagation model
by: Holst, Paul, et al.
Published: (2024)

Shallow-water convergence of the intermediate long wave equation in $L^2$
by: Chapouto, Andreia, et al.
Published: (2025)

Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation
by: Chapouto, Andreia, et al.
Published: (2024)

Intermediate long wave equation in negative Sobolev spaces
by: Chapouto, Andreia, et al.
Published: (2023)

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

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

Nekhoroshev type stability for non-local semilinear Schrödinger equations
by: Yu, Bingqi, et al.
Published: (2025)

Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile
by: Kim, Kihyun, et al.
Published: (2024)

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

Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schrödinger equation
by: Kim, Kihyun, et al.
Published: (2024)

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

Rigidity of smooth finite-time blow-up for equivariant self-dual Chern-Simons-Schrödinger equation
by: Kim, Kihyun
Published: (2022)

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

Global attractor and robust exponential attractors for some classes of fourth-order nonlinear evolution equations
by: Goldys, Beniamin, et al.
Published: (2024)

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

Long-time asymptotics for the Korteweg-de Vries equation with integrable reflectionless initial data
by: Eckhardt, Jonathan
Published: (2023)

Ill-posedness in the critical Sobolev space for the $b$-Novikov equation
by: Geba, Dan-Andrei, et al.
Published: (2026)

Discrete Nonlinear Schrödinger versus Ablowitz-Ladik: Existence and dynamics of generalized focusing NLS-type lattices over a nonzero background
by: Hennig, Dirk, et al.
Published: (2025)

A remark on the well-posedness of the modified KdV equation in $L^2$
by: Forlano, Justin
Published: (2022)

The uniqueness of the ground state and the dynamics of nonlinear Schrödinger equation with inverse square potential
by: Yang, Kai, et al.
Published: (2026)

Asymptotic stability of fast solitary waves to the Benjamin Equation
by: Abdallah, May, et al.
Published: (2024)