Chasing and collision of kinks resulting from the numerical solution of the KG equation with (β≠0) and without (β=0) anharmonic part. The periodic BC are implemented in the most of the cases, however, few simulations with Neumann BC have also been presented ("NBC"). There are also some simulations showing the breather development and propagation as the result of the kinks collision. The parameters of the kinks: α -- anharmonisity factor (α=0 in harmonic case), β -- degree of |1-u^2| in the RHS, λ -- the wavelength, ε (if known) -- the artificial viscosity coefficient (usually, ε=0.00005). The movies are sorted according to the sum of λ in increasing order.
I
>: α=0, β=0, λ=0.5, NBC
II
>: α=1/2, β=0, λ=0.5, NBC
III
>: α=0, β=0, λ=0.75, NBC
IV
>|: α=0, β=0, λ0=0.5, λ1=0
Va
><: α=0, β=0, λ0=0.5, λ1=0.25
Vb
>>: α=0, β=0, λ0=0.5, λ1=0.25
Vc
><: α=0, β=1/3, λ0=0.5, λ1=0.25
Vd
>>: α=0, β=1/3, λ0=0.5, λ1=0.25
Ve
>>: α=0, β=2/3, λ0=0.5, λ1=0.25
VI
>|: α=0, β=1/3, λ0=0.75, λ1=0
VII
><: α=0, β=1, λ0=λ1=0.4
>|: α=0, β=0, λ0=0.9, λ1=0
IXa
><: α=0, β=0, λ0=0.75, λ1=0.25
IXb
><: α=0, β=0, λ0=0.75, λ1=0.25, IXa, cont.
IXc
>>: α=0, β=0, λ0=0.75, λ1=0.25
IXd
><: α=0, β=1/3, λ0=0.75, λ1=0.25
IXe
>>: α=0, β=1/3, λ0=0.75, λ1=0.25
IXf
><: α=0, β=2/3, λ0=0.75, λ1=0.25
IXg
>>: α=0, β=2/3, λ0=0.75, λ1=0.25
X
>>: α=0, β=0, λ0=0.75, λ1=0.5
Xa
>>: α=0, β=1/3, λ0=0.75, λ1=0.5
Xb
>>: α=0, β=2/3, λ0=0.75, λ1=0.5
XIa
>>: α=0, β=0, λ0=0.9, λ1=0.2
XIb
>>: α=1/2, β=1/3, λ0=0.9, λ1=0.2
XIc
>>: α=2, β=0, λ0=0.9, λ1=0.2
XId
>>: α=2, β=1/3, λ0=0.9, λ1=0.2
XIe
>>: α=2, β=2/3, λ0=0.9, λ1=0.2
><: α=0, β=0, λ0=0.9, λ1=0.4, NBC
><: α=0, β=0, λ0=0.9, λ1=0.4
>>: α=0, β=0, λ0=0.9, λ1=0.4
>>: α=0, β=2/3, λ0=0.9, λ1=0.4
><: α=1, β=1/3, λ0=0.9, λ1=0.4
><: α=1, β=1/3, λ0=0.9, λ1=0.4
><: α=0, β=0, λ0=λ1=0.75, NBC
><: α=0, β=0, λ0=λ1=0.75
><: α=0, β=2/3, λ0=λ1=0.75
XIV
>>: α=0, β=2/3, λ0=0.9, λ1=0.65
XVa
><: α=0, β=0, λ0=λ1=0.9
XVb
><: α=0, β=0, λ0=λ1=0.9, breather
XVc
><: α=0, β=1, λ0=λ1=0.9
XVd
><: α=1, β=1/3, λ0=λ1=0.9