6533b86cfe1ef96bd12c8262
RESEARCH PRODUCT
Excitation spectra of solitary waves in scalar field models with polynomial self-interaction
Elizaveta V. MrozovskayaElizaveta V. MrozovskayaElizaveta V. MrozovskayaVadim LenskyVadim LenskyVadim LenskyVakhid A. GaniVakhid A. GaniMariya A. LizunovaMariya A. Lizunovasubject
PhysicsHigh Energy Physics - TheoryHistoryPolynomialDegree (graph theory)ScatteringScalar (mathematics)FOS: Physical sciencesMathematical Physics (math-ph)Pattern Formation and Solitons (nlin.PS)01 natural sciencesResonance (particle physics)Nonlinear Sciences - Pattern Formation and Solitons010305 fluids & plasmasComputer Science ApplicationsEducationExponential functionClassical mechanicsHigh Energy Physics - Theory (hep-th)Molecular vibration0103 physical sciences010306 general physicsScalar fieldNonlinear Sciences::Pattern Formation and SolitonsMathematical Physicsdescription
We study excitations of solitary waves -- the kinks -- in scalar models with degree eight polynomial self-interaction in (1+1) dimensions. We perform numerical studies of scattering of two kinks with an exponential asymptotic off each other and analyse the occurring resonance phenomena. We connect these phenomena to the energy exchange between the translational and the vibrational modes of the colliding kinks. We also point out that the interaction of two kinks with power-law asymptotic can lead to a long-range interaction between the two kinks.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-02-08 |