1996/04/19 by B. Dey, Bishwajyoti Dey, Avinash Khare +2 · 37 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #BETA (programming language) #Korteweg–de Vries equation #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Order (exchange) #Physics #Quantum mechanics #Soliton #Type (biology) #cond-mat #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0375-9601(96)00772-4
published in Physics Letters A 223(6), 449-452 (Elsevier BV) · 8 pages, no figures
arxiv created 1996/04/19 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Exact stationary soliton solutions of the fifth order KdV type equation ut +αup ux +βu3x+γu5x = 0 are obtained for any p (>0) in case αβ>0, Dβ>0, βγ<0 (where D is the soliton velocity), and it is shown that these solutions are unstable with respect to small perturbations in case p≥ 5. Various properties of these solutions are discussed. In particular, it is shown that for any p, these solitons are lower and narrower than the corresponding γ= 0 solitons. Finally, for p = 2 we obtain an exact stationary soliton solution even when D,α,β,γ are all >0 and discuss its various properties.