The role of the massless phantom term in the stability of a non-topological soliton solution

Abstract

We intend to introduce classically a special Lagrangian density in such a way that, firstly, it leads to a special non-topological solitary wave solution, secondly, the stability of that is guaranteed properly, and thirdly, its dominant dynamical equations reduce to the standard nonlinear Klein-Gordon equations. For these purposes, we have to consider a new term in the Lagrangian density, whose role is like a massless phantom that surrounds the special solitary wave solution and resists any change in its internal structure.

References in corpus (24)

• Kink-antikink collisions in the phi^6 model
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Dynamics of Nontopological Solitons - Q Balls
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Scattering of the double sine-Gordon kinks
• 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
• Inverse variational problem for non-standard Lagrangians
• Q-balls, Integrability and Duality
• Exact solutions, energy and charge of stable Q-balls
• Problem with classical stability of U(1) gauged Q-balls
• Compact Q-balls
• Perturbations against a Q-ball: Charge, energy, and additivity property
• Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation
• Split Q-Balls
• Vibrational modes of Q-balls
• 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
• Perturbation Analysis of Deformed Q-Balls and Primordial Magnetic Field

Cited by in corpus (4)

• An Energetically Stable Q-ball solution in 3+1 Dimensions
• Stability Catalyzer for a Relativistic Non-Topological Soliton Solution
• Faster-Than-Light Solitons in 1 + 1 Dimensions
• Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions