Scattering of the \(\varphi^8\) kinks with power-law asymptotics
From MaRDI portal
Publication:2206117
DOI10.1016/j.cnsns.2018.07.030OpenAlexW2741499171MaRDI QIDQ2206117
Vakhid A. Gani, Ekaterina Belendryasova
Publication date: 21 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00403
Scattering theory for PDEs (35P25) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)
Related Items
Kink-antikink collision in a Lorentz-violating \(\varphi^4\) model ⋮ Kink solutions in logarithmic scalar field theory: excitation spectra, scattering, and decay of bions ⋮ Family of potentials with power law kink tails ⋮ Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories ⋮ Collision of two kinks with inner structure ⋮ Moduli space with a boundary ⋮ Kinks in higher-order polynomial models ⋮ Scattering of kinks in the \(B\varphi^4\) model ⋮ Collisions of kinks in deformed \(\varphi^4\) and \(\varphi^6\) models ⋮ Kink Dynamics in the $\varphi^{4}$ Model with Extended Impurity ⋮ Aspects of Kink‐Like Structures in 2D Dilaton Gravity ⋮ Non-topological kink scattering in a two-component scalar field theory model ⋮ Asymmetric kink scattering in a two-component scalar field theory model ⋮ Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes ⋮ Kink-antikink collisions in the periodic \(\varphi^4\) model ⋮ Stability catalyzer for a relativistic non-topological soliton solution ⋮ Interaction between kinks and antikinks with double long-range tails ⋮ Introducing a relativistic nonlinear field system with a single stable non-topological soliton solution in \(1 + 1\) dimensions ⋮ Kink scattering in a generalized Wess-Zumino model ⋮ Kink scattering in a hybrid model ⋮ Boundary scattering in the \({\varphi}^6\) model ⋮ A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models ⋮ Kink–antikink scattering-induced breathing bound states and oscillons in a parametrized ϕ4 model ⋮ Asymmetric scattering between kinks and wobblers ⋮ Forces between kinks and antikinks with long-range tails ⋮ Emergence of oscillons in kink-impurity interactions
Cites Work
- Classical dynamics of the abelian Higgs model from the critical point and beyond
- Physical dynamics of quasi-particles in nonlinear wave equations
- New models for two real scalar fields and their kink-like solutions
- Solitary wave collisions revisited
- Dirac field in the background of a planar defect
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Split Q-balls
- Bi-dimensional soliton-like solutions of the nonlinear complex sine-Gordon system
- A model unified field equation
- Topological Solitons
