This paper was motivated by the observation that after quickly finding a number of hierarchies (mKdV, Sawada-Kotera, Kaup-Kuperschmidt) soon after finding that KdV was integrable, nothing more was found for polynomial scalar evolution equations linear in the highest order derivative. In this paper we prove that under some mild conditions on the equations one can put a uniform bound on the order...

This study investigates the wave solutions of time-fractional Sawada–Kotera–Ito equation (SKIE) that arise in shallow water and many other fluid mediums by utilizing some most flexible high-precision methods. The SKIE is a nonlinear integrable partial differential (PDE) with significant applications dynamics mechanics. However, traditional numerical methods used for analyzing this are often pla...

vVe propose the nucleon-nucleon potential of one-boson-exchange type in the triplet even (3E) state, which is determined so as to reproduce the two-nucleon scattering data below 350 MeV as well as the deuteron data. In an earlier paper by Kishi, Sawada and Watari, the hard core radius in 3E state was larger than those in other states. In this paper we take the same hard core radius in 3E state ...

We give a syntactic view of the Sawada-Williams (σ,τ)-generation permutations. The corresponding sequence Seqn στ-operations length n!−1 is shown to have compact description size Θ(n2) in terms straight-line programs. Using description, we design almost linear time ranking and unranking algorithms.

Ryusei MATSUYAMA*, Yasuhiro YABUSHITA, Kizuki YUZA, Tomoaki TAKAHASHI, Kentaro MIYAKE, Yu SAWADA, Yuki HOMMA, Itaru ENDO. Ann Hepatobiliary Pancreat Surg 2023;27:S66. https://doi.org/10.14701/ahbps.2023S1.OP-1-8

Individual human adenoviruses (Ad) ~ vary in their tumorigenic potential in rodents. Group A serotypes induce tumors with high efficiency, while those belonging to the group C are nononcogenic (1). This phenomenon was originally thought to be a reflection of differences in their immunogenicity (2). Isograft transplantation experiments have shown, however, that immunization with both highly onco...

This paper focuses on solving the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation (FCDGSKE). We propose two analytical methods based complex transform, variational iteration method and homotopy perturbation method. The approximated solutions to initial value problems associated with FCDGSKE are provided without linearization complicated calculation. Numerical results show main merits...

Yasuhiro YABUSHITA, Ryusei MATSUYAMA, Kizuki YUZA, Tomoaki TAKAHASHI, Kentaro MIYAKE, Yu SAWADA, Yuki HOMMA, Takafumi KUMAMOTO, Kzuhisa TAKEDA, Itaru ENDO*. Ann Hepatobiliary Pancreat Surg 2023;27:S233. https://doi.org/10.14701/ahbps.2023S1.BP-PP-3-5