Results 61 to 70 of about 582,098 (170)

Exact Solutions and Nonlinear Dynamical Behavior in a Navier‐Stokes‐Type Model for Elastic Cylindrical Vessels: An Analytical and Computational Approach

Engineering Reports, Volume 8, Issue 6, June 2026.
This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid, Fatma Nur Kaya Sağlam, Mohammad Safi Ullah   +2 more
wiley   +1 more source

Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations

Journal of High Energy Physics, 2018
The integrability of the N=1 $$ \mathcal{N}=1 $$ supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation
A.R. Aguirre, A.L. Retore, J.F. Gomes, N.I. Spano, A.H. Zimerman   +4 more
doaj   +1 more source

The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley   +1 more source

New approach to Bäcklund transformations for a curve and its pedal curve

, 2019
In this paper, we study Bäcklund transformations for the pedal curve given a space curve in the Euclidean 3-space. Firstly, we give Bishop frame on a pedal curve in E 3 . Then, we obtain some essential equations of Bäcklund transformation with the aid of
Sarıaydın, Muhammed T., Sarıaydın M.T., Körpınar, Talat, Körpınar, Talat.   +3 more
core   +1 more source

Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation

Open Physics, 2015
Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard ...
Ren Bo
doaj   +1 more source

Generation of a recipient line for Rubisco engineering by multiplex genome editing in tobacco

The Plant Journal, Volume 126, Issue 4, May 2026.
SUMMARY Rubisco (ribulose 1,5‐bisphosphate carboxylase/oxygenase) is the primary CO2‐fixing enzyme on our planet. Its slow kinetics and poor discrimination between carbon dioxide and oxygen as substrates severely limit the efficiency of photosynthetic carbon fixation by plants.
Gonçalo E. da Silva, Stephan Obst, Pedro Carvalho, Joachim Forner, Stephanie Ruf, Nelson J. M. Saibo, Ralph Bock   +6 more
wiley   +1 more source

Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems

International Journal of Mathematics and Mathematical Sciences, 2009
A (2+1) dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given.
Yan-ze Peng
doaj   +1 more source

Hypervalent Iodine‐Mediated Synthesis of Sulfones Using Organozinc Pivalates and Sulfinate Salts

European Journal of Organic Chemistry, Volume 29, Issue 13, 13 April 2026.
A general protocol for sulfone synthesis via sulfonyl‐containing hypervalent iodine reagents and organozinc pivalates is described. The method is practical, provides a broad scope of sulfone in moderate to high yield. bicyclo[1.1.1]pentane‐sulfones are also disclosed and a one‐pot synthesis of Diels–Alder adduct is presented. Sulfones are key motifs in
José C. Cunha, Gabriel G. Rocha, Fábio M. F. Santos, Stefan Bräse, M. Manuel B. Marques   +4 more
wiley   +1 more source

Bäcklund transformations of Zn-sine-Gordon systems

, 2017
In this paper, from the algebraic reductions from the Lie algebra [Formula: see text] to its commutative subalgebra [Formula: see text], we construct the general [Formula: see text]-sine-Gordon and [Formula: see text]-sinh-Gordon systems which contain ...
Chuanzhong Li, Xueping Yang
core   +1 more source

Nonlinear Evolution Equations of the Soliton Type: Old and New Results

Proceedings
An overview on the study of nonlinear evolution equations of soliton type is provided. In addition, 5th-order nonlinear evolution equations are shown to be connected to the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) equation via Bäcklund transformations ...
Sandra Carillo, Cornelia Schiebold, Federico Zullo   +2 more
doaj   +1 more source