presentation 1. Aya Kobayashi, Hiroshi Okuda, Puspa R. Pandey, Misako Watabe, Sudha K. Pai, Shigeru Hirota, Fei Xing, Wen Liu, Bo Xia, Kounosuke Watabe Poster Presentation: “BMP7 regulates dormancy and recurrence of prostate cancer stem cell in bone” Joint MRS-AACR Conference: Metastasis and the Tumor Microenvironment, 2010, Philadelphia, PA 2. Aya Kobayashi, Hiroshi Okuda, Puspa Pandey, Misako...

Considering the importance of ever-increasing interest in exploring localized waves, we investigate a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation describing unidirectional propagation shallow-water waves and perform Painlev\'e analysis to understand its integrability nature. We construct explicit form higher-order rogue wave solutions by adopting Hirota's bilinearization polynomia...

Solitons are an important class of solutions to nonlinear differential equations which appear in different areas physics and applied mathematics. In this study we provide a general overview the Hirota method is one most powerful tool finding multi-soliton wave evaluation equations. Bright dark soliton Schrödinger equation discussed detail

The bi-Hamiltonian structure of original Hirota-Satsuma system proposed by Roy based on a modification of the bi-Hamiltonian structure of Ito system is incorrect.

A series of new soliton solutions is presented for the inhomogeneous variable coefficient Hirota equation by using Riemann–Hilbert method and transformation relationship. Firstly, through a standard dressing procedure, N-soliton matrix associated with simple zeros in problem constructed. Then can be obtained special relationship from equation. Next, generalized Darboux transformation, high-orde...

In this paper, we consider the homotopy perturbation method (HPM) to obtain the exact solution of Hirota-Satsuma Coupled KdV equation. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear mathematical problems.