2009/08/31 by Ken-ichi Maruno, Ken-Ichi Maruno, Kenji Kajiwara
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #nlin.PS #nlin.SI
paper · pdf · doi:10.1080/00036810903569473
published as An International Journal, 1563-504X, Volume 89, Issue 4, 2010, Pages 593 -- 609 · 17 pages,To appear in Applicable Analysis, Special Issue of Continuous and Discrete Integrable Systems
arxiv created 2009/12/10 · openalex publication_date 2010/03/25 · arxiv updated 2011/05/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.