Compactons versus solitons

Pramana

Paulo E G Assis¹  Andreas Fring1¹ 

[1] Centre for Mathematical Science, City University London, Northampton Square, London EC1V 0HB, UK$$

关键词: Compactons;    $mathcal{PT}$-symmetry;    KdV equation;    Painlevé test.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We investigate whether the recently proposed $mathcal{PT}$-symmetric extensions of generalized Korteweg–de Vries equations admit genuine soliton solutions besides compacton solitary waves. For models which admit stable compactons having a width which is independent of their amplitude and those which possess unstable compacton solutions the Painlevé test fails, such that no soliton solutions can be found. The Painlevé test is passed for models allowing for compacton solutions whose width is determined by their amplitude. Consequently, these models admit soliton solutions in addition to compactons and are integrable.

【 授权许可】

Unknown