Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions

Abstract

In this paper we present a new extended complex nonlinear Klein-Gordon Lagrangian density, which bears a single non-topological soliton solution with a specific rest frequency ${\omega }_s$ in $1+1$ dimensions. There is a proper term in the new Lagrangian density, which behaves like a massless spook that surrounds the single soliton solution and opposes any internal changes. In other words, any arbitrary variation in the single soliton solution leads to an increase in the total energy. Moreover, just for the single soliton solution, the general dynamical equations are reduced to those versions of a special type of the standard well-known complex nonlinear Klein-Gordon systems, as its dominant dynamical equations.

References in corpus (37)

• Kink-antikink collisions in the phi^6 model
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-kink and kink-antikink interactions with long-range tails
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Long-range interactions of kinks
• Dynamics of Nontopological Solitons - Q Balls
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Forces between Kinks and Antikinks with Long-range Tails
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Resonant kink-antikink scattering through quasinormal modes
• Multi-kink collisions in the ${\varphi }^6$ model
• Some stationary properties of a $Q$-ball in arbitrary space dimensions
• Large Gauged Q Balls
• Multi-kink scattering in the double sine-Gordon model
• Q-balls, Integrability and Duality
• Analytical study of kinklike structures with polynomial tails
• Exact solutions, energy and charge of stable Q-balls
• Problem with classical stability of U(1) gauged Q-balls
• Kink scattering in a hybrid model
• Kink scattering in hyperbolic models
• Perturbations against a Q-ball: Charge, energy, and additivity property
• Split Q-Balls
• Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation
• On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
• Vibrational modes of Q-balls
• The interaction energy of well-separated Skyrme solitons
• The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System
• Generation of Magnetic Field due to Excited Q-Balls
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• Perturbation Analysis of Deformed Q-Balls and Primordial Magnetic Field
• Small deformations of kinks and walls
• Magnetic monopoles in pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass
• Interacting kinks and meson mixing
• The role of the massless phantom term in the stability of a non-topological soliton solution

Cited by in corpus (1)

• Stability Catalyzer for a Relativistic Non-Topological Soliton Solution