Compactons in $mathcal{PT}$-symmetric generalized Korteweg–de Vries equations

Pramana

Carl M Bender²  Bogdan Mihaila³  Fred Cooper2⁴  Avadh Saxena¹  Avinash Khare4⁵ 

[1] Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA$$;Department of Physics, Washington University, St. Louis, MO 63130, USA$$;Material Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA$$;National Science Foundation, Division of Physics, Arlington, VA 22230, USA and Santa Fe Institute, Santa Fe, NM 87501, USA$$;Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India$$

关键词: Compactons;    $mathcal{PT}$ symmetry;    generalized KdV equations.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This paper considers the $mathcal{PT}$-symmetric extensions of the equations examined by Cooper, Shepard and Sodano. From the scaling properties of the $mathcal{PT}$-symmetric equations a general theorem relating the energy, momentum and velocity of any solitary-wave solution of the generalized KdV equation is derived. We also discuss the stability of the compacton solution as a function of the parameters affecting the nonlinearities.

【 授权许可】

Unknown