Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations

DOI10.1016/j.physleta.2017.03.042zbMath1374.35333arXiv1607.03484OpenAlexW2509936080MaRDI QIDQ1681241

Peng Zhang

Publication date: 23 November 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03484

zbMATH Keywords

Internal (shape) modesLong-range forcesSine-Gordon solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (7)

Analytic iteration procedure for solitons and traveling wavefronts with sources ⋮ Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the Sine-Gordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode ⋮ Kink Dynamics in the $\varphi^{4}$ Model with Extended Impurity ⋮ Nonlinear electromagnetic waves in semi-Dirac nanostructures with superlattice ⋮ Excitation of Large-Amplitude Localized Nonlinear Waves by the Interaction of Kinks of the Sine-Gordon Equation with Attracting Impurity ⋮ Unnamed Item ⋮ Stability of solitary waves in nonlinear Klein–Gordon equations

Cites Work

• Kink shape modes and resonant dynamics in sine-lattices
• Internal modes of localized optical vortex soliton in a cubic-quintic nonlinear medium
• Transformation of sine-Gordon solitons in models with variable coefficients and damping
• Sine-Gordon wobbles through Bäcklund transformations
• Controlling soliton explosions
• The collision of two-kinks defects
• Structure and properties of four-kink multisolitons of the sine-Gordon equation
• Practical Quantum Mechanics II
• The sine-Gordon wobble
• Bound states in one and two spatial dimensions

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