41 reputation
2
bio website
location
age
visits member for 1 year, 3 months
seen Nov 27 '13 at 4:11

May
3
answered What is a physical example of a Saddle-Node Bifurcation?
May
1
answered Lagrangian density for a Piano String
May
1
awarded  Informed
May
1
comment sine-Gordon equation
Sorry I could not get the book by Rider. But I don't think there is a strict relation between SG and $\phi^4$ models. For example, one can write that $\sin(x) \approx x - x^3/6$, but this does not prove that sinus function is related to a cubic function. BTW, if you take the derivative of your solutions, then eq.(1) gives hyperbolic secant squared, and eq.(2) gives just hyperbolic secant. In this sense, these solutions are related to each other. But in general, the SG model and $\phi^4$ do not have relation in a strict sense.
May
1
answered Valid theory in all dimensions for solitary waves
Apr
30
awarded  Teacher
Apr
30
answered sine-Gordon equation
Apr
27
answered What is a nonlinear field?