Heteroclinic orbits for a higher order phase transition problem
Heteroclinic orbits for a higher order phase transition problem
A standard model for one-dimensional phase transitions is the second-order semilinear equation with bistable nonlinearity, where one seeks a solution which connects the two stable values. From an Ising-like model but which includes long-range interaction, one is led to consider the equation where the second-order operator is replaced by one …