Details

Autor(en) / Beteiligte

• Zhao, Qi-Liang
• Jia, Man
• Lou, Sen-Yue

Titel

Fifth-Order Alice-Bob Systems and Their Abundant Periodic and Solitary Wave Solutions

Ist Teil von

• Communications in theoretical physics, 2019-10, Vol.71 (10), p.1149

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Abstract The study on the nonlocal systems is one of the hot topics in nonlinear science. In this paper, the well-known fifth-order integrable systems including the Sawada-Kotera (SK) equation, the Kaup-Kupershmidt (KK) equation and the fifth-order Koterweg-de Vrise (FOKdV) equation are extended to a generalized two-place nonlocal form, the generalised fifth-order Alice-Bob system. The Lax integrability of two sets of Alice-Bob systems for all the SK, KK and FOKdV type systems are explicitly given via matrix Lax pairs. The P ^ T ^ symmetry breaking and symmetry invariant periodic and solitary waves for one set of nonlocal SK, KK and FOKdV system are investigated via a special travelling wave solution ansatz.