Exponential Asymptotics for Solitons in PT-Symmetric Periodic Potentials

• Published in: Studies in applied mathematics (Cambridge) Vol. 133; no. 4; pp. 373 - 397
• Main Authors: Nixon, Sean D., Yang, Jianke
• Format: Journal Article
• Language: English
• Published: Cambridge Blackwell Publishing Ltd 01.11.2014
• Subjects: Applied mathematics; Integral equations; Studies; Theorems

Solitons in one‐dimensional parity‐time (PT)‐symmetric periodic potentials are studied using exponential asymptotics. The new feature of this exponential asymptotics is that, unlike conservative periodic potentials, the inner and outer integral equations arising in this analysis are both coupled sys...