Results 101 to 110 of about 697 (208)

A comprehensive study of qualitative analysis and soliton dynamics related to kairat-II-X-type equation

Ain Shams Engineering Journal
Nonlinear evolution equations have been found to be useful in modeling complicated wave dynamics in a wide range of applications, including fluid dynamics, nonlinear optics, plasma physics, and other fields of applied sciences.
Fozia Bashir Farooq, Nauman Raza, Muhammad Shahbaz, Salman Ali, Mustafa Bayram   +4 more
doaj   +1 more source

Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

Boundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

Hirota Bilinear Approach to Multi-Component Nonlocal Nonlinear Schrödinger Equations

Nonlocal nonlinear Schrödinger equations are among the important models of nonlocal integrable systems. This paper aims to present a general formula for arbitrary-order breather solutions to multi-component nonlocal nonlinear Schrödinger ...
Yin-Shan Yun, Li-Na Zheng, Yu-Shan Bai, Wen-Xiu Ma   +3 more
core   +1 more source

Abundant wave symmetries in the (3+1)-dimensional Chafee–Infante equation through the Hirota bilinear transformation technique

Open Physics
The present study investigates different types of wave symmetries in the (3+1)\left(3+1)-dimensional Chafee–Infante equation via the Hirota bilinear transformation technique. In this work, we derived exact solutions that include bright and dark solitons,
Ceesay Baboucarr, Baber Muhammad Z., Ahmed Nauman, Shahid Naveed, Macías Siegfried, Macías-Díaz Jorge E.   +5 more
doaj   +1 more source

The Lam\'e functions and elliptic soliton solutions: Bilinear approach

, 2023
The Lam\'e function can be used to construct plane wave factors and solutions to the Korteweg-de Vries (KdV) and Kadomtsev-Petviashvili (KP) hierarchy. The solutions are usually called elliptic solitons.
Li, Xing, Zhang, Da-jun
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Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schrodinger flow

, 2012
In a previous work El et al. (2006) [1] exact stable oblique soliton solutions were revealed in two-dimensional nonlinear Schrodinger flow. In this work we show that single soliton solution can be expressed within the Hirota bilinear formalism.
Gammal, A., Khamis, Eduardo Georges, Gammal, Arnaldo, Khamis, E.G.   +3 more
core   +1 more source

Construction of bilinear Bäcklund transformation and complexitons for a newer form of Boussinesq equation describing shallow water waves

Results in Physics
This research investigates the characteristics and attributes of a new (3+ 1)-dimensional Boussinesq equation that describes shallow water waves in higher dimensions.
Faisal Javed, Miguel Vivas-Cortez, Zil-E-Huma, Nauman Raza, M.S. Alqarni   +4 more
doaj   +1 more source

The Hirota's direct method and multi-soliton solutions [PDF]

, 2010
The study of soliton theory is always a major source of mathematical and physical inspiration. For the past few decades, soliton theory has attracted considerable attention in diverse physical applications and the various mathematical methods of solution.
Chia, Chee Pen
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Nonlinear evolutions equations in hirota's and sato's theories via young and maya diagrams [PDF]

, 2013
This work relates Hirota direct method to Sato theory. The bilinear direct method was introduced by Hirota to obtain exact solutions for nonlinear evolution equations.
Ali, Noor Aslinda
core  

Hirota equation and Bethe ansatz

, 1998
The paper is a review of recent works devoted to analysis of classical integrable structures in quantum integrable models solved by one or another version of the Bethe ansatz.
A. Zabrodin
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