Results 61 to 70 of about 13,576,874 (171)

Analytical Solutions of the Fractional Hirota–Satsuma Coupled KdV Equation along with Analysis of Bifurcation, Sensitivity and Chaotic Behaviors

Fractal and Fractional
This paper explores the exact solutions of the fractional Hirota–Satsuma coupled KdV (fHScKdV) equation in the Beta fractional derivative. The logistic method is first proposed to construct analytical solutions for the fHScKdV equation.
Yongyi Gu, Chunling Jiang, Yongkang Lai
doaj   +1 more source

Exploring Solutions' Families of the Fractional Hirota-Satsuma Coupled KdV Equation via Extended Direct Algebraic Method

Contemporary Mathematics
An extended direct algebraic method is used in this work to examine the soliton solutions of the fractional Hirota-Satsuma coupled Korteweg-de Vries equation. Understanding the dynamic behaviour of solitons in nonlinear systems using analytical solutions is our goal. To obtain precise soliton solutions, we utilise a logistic technique.
Wael W. Mohammed, Miguel Vivas-Cortez, Muhammad Bilal, Majeed Ahmad Yousif, Karim K. Ahmed, Pshtiwan Othman Mohammed   +5 more
openaire   +1 more source

Ocular accommodation does take place under the Maxwellian view observation method

, 2023
This data is the ocular refraction and pupil diameter data accumulated in the "Ocular accommodation does take place under the Maxwellian view observation method.” We hope that this will help researchers study the response of the pupil to ocular ...
Masakazu Hirota
core   +1 more source

Prognostic Impact of Metastasis Timing in Metastatic Gastrointestinal Stromal Tumors: A Multicenter Retrospective Cohort Study

Annals of Gastroenterological Surgery, Volume 10, Issue 5, Page 1663-1672, September 2026.
ABSTRACT Background Gastrointestinal stromal tumors (GISTs) commonly metastasize to the liver and peritoneum. Metastases may be detected synchronously at the time of initial diagnosis or develop metachronously after curative‐intent resection. Nonetheless, the prognostic significance of metastasis timing in advanced GIST remains unclear.
Kunihiko Kawai, Tsuyoshi Takahashi, Ryugo Teranishi, Shinsuke Sato, Yukinori Kurokawa, Toshirou Nishida, Seiichi Hirota, Jyunya Fujita, Yuichiro Doki, Toshimasa Tsujinaka   +9 more
wiley   +1 more source

Investigation of lump, breather and multi solitonic wave solutions to fractional nonlinear dynamical model with stability analysis

Partial Differential Equations in Applied Mathematics
In the current research, the new extended direct algebraic method (NEDAM) and the symbolic computational method, along with different test functions, the Hirota bilinear method, are capitalized to secure soliton and lump solutions to the (2+1 ...
M.A. El-Shorbagy, Sonia Akram, Mati ur Rahman   +2 more
doaj   +1 more source

The Hirota direct method

, 2020
The search for integrability of nonlinear partial diï¬erential and diï¬erenceequations includes the study on multi-soliton solutions. One of the most fa-mous method to construct multi-soliton solutions is the Hirota direct method.In this thesis, we explain this method in detail and apply it to explicit ex-amples.
openaire   +1 more source

Modified simple equation method to the nonlinear Hirota Satsuma KdV system

, 2015
. In this article, we use the modified simple equation method to construct the exact traveling wave solutions for some nonlinear PDE's in mathematical physics namely the coupled Hirota -Satsuma KdV equations and the generalized coupled Hirota ...
E M E Zayed, Khaled A Gepreel, M M El-Horbaty   +2 more
core  

Nonlineer evolüsyon denklemleri için hirota metodu [PDF]

, 2018
Bu tezin ilk bölümünde tarihsel olarak Kısmi Türevli Diferansiyel Denklemler anlatılmıştır. İkinci bölümde KdV denklemi hakkında bilgi verilerek Hirota bilineer metodu ve evolüsyon denklemleriyle ilgili günümüze kadar yapılan çalışmalar tarihi ...
Kurkut, Mehmet
core  

Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation

Open Physics
In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are ...
Liu Xiaotian, Zhang Yongshuai, Yang Yunqing   +2 more
doaj   +1 more source

Multi-soliton and rogue wave solutions and their interaction: Insights into nonlinear dynamics in integrable systems

Partial Differential Equations in Applied Mathematics
Solitons are essential in order to understand integrable systems and solve nonlinear evolution equations. They maintain signal integrity in the optical fiber and represent localized waves in plasma, paying significantly to plasma behavior management in ...
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
doaj   +1 more source