Cover Image

Shock waves of spherical/cylindrical KdV-B: Asymptotic, stability, superposition

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Samokhin, Alexey
Format:	Preprint
Published:	2026
Subjects:	Pattern Formation and Solitons 35Q53, 35B36
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Superposition of shock waves of the generalized BBM equation
by: Samokhin, Alexey
Published: (2026)

A study of variational single solitary waves governed by the conservative-extended KdV equation with applications to shallow water dispersive shocks
by: Baqer, Saleh, et al.
Published: (2026)

Modelling surface waves on shear current with quadratic depth-dependence
by: Curtin, Conor, et al.
Published: (2024)

Designing reaction-cross-diffusion systems with Turing and wave instabilities
by: Villar-Sepúlveda, Edgardo, et al.
Published: (2024)

Dispersive shock waves in a one-dimensional droplet-bearing environment
by: Chandramouli, Sathyanarayanan, et al.
Published: (2024)

Nonlinear two-dimensional water waves with arbitrary vorticity
by: Ionescu-Kruse, Delia, et al.
Published: (2024)

Pattern Localisation in the Swift-Hohenberg Equation via Slowly Varying Spatial Heterogeneity
by: Krause, Andrew L., et al.
Published: (2024)

Oscillatory Instabilities of a One-Spot Pattern in the Schnakenberg Reaction-Diffusion System in $3$-D Domains
by: Deng, Siwen, et al.
Published: (2024)

Modeling competitive interactions and plant-soil feedback in vegetation dynamics
by: Marasco, Addolorata, et al.
Published: (2019)

Compound Burgers-KdV Soliton Behaviour: Refraction, Reflection and Fusion
by: Holm, Darryl D., et al.
Published: (2025)

Dam breaks in the discrete nonlinear Schrödinger equation
by: Mohapatra, Shrohan, et al.
Published: (2025)

Supratransmission of rogue wave-like breathing solitons
by: Hasmi, Abrari Noor, et al.
Published: (2025)

Linear convective stability of a front superposition with unstable connecting state
by: Garénaux, Louis, et al.
Published: (2025)

Dispersive shock waves in periodic lattices
by: Yang, Su, et al.
Published: (2025)

Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
by: Chandramouli, Sathyanarayanan, et al.
Published: (2025)

On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
by: Karachalios, Nikos I., et al.
Published: (2025)

Bifurcation and Asymptotics of Cubically Nonlinear Transverse Magnetic Surface Plasmon Polaritons
by: Dohnal, Tomáš, et al.
Published: (2023)

Selection of pushed pattern-forming fronts in the FitzHugh-Nagumo system
by: Avery, Montie, et al.
Published: (2026)

Nonlinear states of the conservative complex Swift-Hohenberg equation
by: Kusdiantara, Rudy, et al.
Published: (2025)

New logarithmic power nonlinear Schrödinger equations with super-Gaussons
by: Susanto, Hadi
Published: (2026)

Convectons in unbalanced natural doubly diffusive convection
by: Tumelty, J., et al.
Published: (2024)

Homoclinic snaking of contact defects in reaction-diffusion equations
by: Roberts, Timothy, et al.
Published: (2024)

Stability and instability of solitary waves in fractional generalized KdV equation in all dimensions
by: Riaño, Oscar, et al.
Published: (2022)

Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
by: Watanabe, Riku
Published: (2026)

Weak Diffusive Stability of Roll Solutions at the Zigzag Boundary
by: Chowdhary, Abhijit, et al.
Published: (2023)

Beyond water limitation in vegetation-autotoxicity patterning: a cross-diffusion model
by: Giannino, Francesco, et al.
Published: (2025)

Bright traveling breathers in media with long-range, nonconvex dispersion
by: Chandramouli, Sathyanarayanan, et al.
Published: (2023)

On the modelling of short and intermediate water waves
by: Ivanov, Rossen I.
Published: (2024)

Spatio-temporal pattern formation under varying functional response parametrizations
by: Gaine, Indrajyoti, et al.
Published: (2025)

Integral Asymptotics, Coalescing Saddles, and Multiple-scales Analysis of a Generalised Swift-Hohenberg Equation
by: Klika, Václav, et al.
Published: (2025)

On Kato's smoothing effects for KdV and Benjamin type equations
by: Garzón, Carlos, et al.
Published: (2026)

The generalized fractional KdV equation in weighted Sobolev spaces
by: Cunha, Alysson, et al.
Published: (2022)

Novel reaction-diffusion PDE model for fingerprint-like pattern emergence via the Schnakenberg mechanism
by: Sepúlveda-Soto, Fabián, et al.
Published: (2025)

Hamiltonian description of internal ocean waves with Coriolis force
by: Cullen, Joseph, et al.
Published: (2022)

Fractal structure of Christ-Lee model
by: Zhang, Boming, et al.
Published: (2025)

Fisher-KPP-type models of biological invasion: Open source computational tools, key concepts and analysis
by: Simpson, Matthew J, et al.
Published: (2024)

Uniform Stability of Oscillatory Shocks for KdV-Burgers Equation
by: Chen, Geng, et al.
Published: (2026)

Pattern formation and film rupture in a two-dimensional thermocapillary thin-film model of the Bénard-Marangoni problem
by: Böhmer, Stefano, et al.
Published: (2025)

Asymptotic behavior of solutions to the generalized KdV-Burgers equation with slowly decaying data
by: Fukuda, Ikki
Published: (2018)

Numerical Continuation and Bifurcation in Nonlinear PDEs: Stability, invasion and wavetrains in the Swift-Hohenberg equation
by: Lloyd, David, et al.
Published: (2025)