5 citations · 6 across the 5 of their papers we have counts for
6 papers
Symmetric Dual Breather Modes as a Dynamic Origin of Tiny Particle Masses
Yoritaka Iwata, Yasuhiro Takei
Spontaneous symmetry breaking (SSB) is conventionally understood through static vacuum selection in low-energy approximations. However, the nonperturbative dynamical pathways conne…
Dynamical symmetry breaking described by cubic nonlinear Klein-Gordon equations
Yasuhiro Takei, Yoritaka Iwata
The dynamical symmetry breaking associated with the existence and non-existence of breather solutions is studied. Here, nonlinear hyperbolic evolution equations are calculated usin…
Time-dependent finite-dimensional dynamical system representation of breather solutions
Yoritaka Iwata, Yasuhiro Takei
A concept of finite-dimensional dynamical system representation is introduced. Since the solution trajectory of partial differential equations are usually represented within infini…
Static analysis for coupled nonlinear Klein-Gordon equations with asymmetric parameter settings
Yasuhiro Takei, Yoritaka Iwata
Klein-Gordon equations describe the dynamics of waves/particles in sub-atomic scales. For a system of nonlinear Klein-Gordon equations, a systematic analysis of the time evolution…
Space-time breather solution for nonlinear Klein-Gordon equations
Yasuhiro Takei, Yoritaka Iwata
Klein-Gordon equations describe the dynamics of waves/particles in sub-atomic scales. For nonlinear Klein-Gordon equations, their breather solutions are usually known as time perio…
Numerical scheme based on the spectral method for calculating nonlinear hyperbolic evolution equations
Yoritaka Iwata, Yasuhiro Takei
High-precision numerical scheme for nonlinear hyperbolic evolution equations is proposed based on the spectral method. The detail discretization processes are discussed in case of…