It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition. For the case N = 2, the decomposition is used to calculate the phase shift of each soliton caused by its interaction with the other one. Corrections are made to some previous results in the literature
- short-pulse equation
- sine-Gordon equation
- n-loop soliton
- moloney–Hodnett decomposition
- phase shift.