Results 31 to 40 of about 64,375 (247)

Pattern Formation of a Bubbly Fluid Mixture under the Effect of Thermodynamics via Kudryashov-Sinelshchikov Model

Journal of Mathematics, 2022
In this paper, new explicit wave solutions via liquid-gas bubbles are obtained for the fractional Kudryashov-Sinelshchikov (KS) equation under thermodynamic assumptions.
Abdel-Haleem Abdel-Aty, Nauman Raza, Amna Batool, Emad E. Mahmoud, Ibrahim S. Yahia, El Sayed Yousef   +5 more
doaj   +1 more source

Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods

Results in Physics, 2022
In this work,1/G′, modified G′/G2 and new extended direct algebraic methods are proposed to construct the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions of the time-fractional modified equal-width (
Imran Siddique, Khush Bukht Mehdi, Mohammed M.M. Jaradat, Asim Zafar, Mamdouh E. Elbrolosy, Adel A. Elmandouh, Mohammed Sallah   +6 more
doaj   +1 more source

Exact solutions to the focusing nonlinear Schrodinger equation [PDF]

, 2007
A method is given to construct globally analytic (in space and time) exact solutions to the focusing cubic nonlinear Schrodinger equation on the line. An explicit formula and its equivalents are presented to express such exact solutions in a compact form
Ablowitz M J, Ablowitz M J, Ablowitz M J, Ablowitz M J, Aktosun T, Aktosun T, Bart H, Boiti M, Busse T, Cascaval R C, Chadan K, Coddington E A, Cornelis van der Mee, Courant R, Demontis F, Francesco Demontis, Gohberg I, Golub G H, Hasegawa A, Hirota R, Its A R, Its A R, Kamchatnov A M, Novikov S, Polyanin A D, Satsuma J, Tuncay Aktosun, Zakharov V E, Zakharov V E   +28 more
core   +5 more sources

Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method

Journal of Applied Mathematics, 2013
This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation.
Yinghui He, Shaolin Li, Yao Long
doaj   +1 more source

On the Construction of Trigonometric Solutions of the Yang-Baxter Equation [PDF]

, 1994
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two irreducible representations of a quantum algebra $U_q(\G)$.
Baxter, Bazhanov, Berg, Bernard, Chari, Chari, Chari, Cherednik, Delius, Drinfel'd, Drinfel'd, Drinfel'd, Faddeev, Frenkel, Gould, Gould, Gustav W. Delius, Hollowood, Hollowood, Izergin, Jimbo, Jimbo, Jimbo, Jimbo, Kac, Khoroshkin, Kirillov, Korepin, Kulish, Links, Lusztig, Ma, MacKay, MacKay, MacKay, MacKay, Mark D. Gould, Ogievetsky, Ogievetsky, Okado, Reshetikhin, Reshetikhin, Rosso, Sklyanin, Tolstoy, Yao-Zhong Zhang, Zamolodchikov, Zamolodchikov, Zhang, Zhang, Zhang   +50 more
core   +4 more sources

Classical quasi-trigonometric $r-$matrices of Cremmer-Gervais type and their quantization [PDF]

, 2006
We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang-Baxter equation.
Samsonov, M., Stolin, A., Yermolova-Magnusson, J.   +2 more
core   +2 more sources

Trigonometric osp(1|2) Gaudin model

, 2002
The problems connected with Gaudin models are reviewed by analyzing model related to the trigonometric osp(1|2) classical r-matrix. The eigenvectors of the trigonometric osp(1|2) Gaudin Hamiltonians are found using explicitly constructed creation ...
Kulish, P. P., Manojlovic, N.
core   +1 more source

Extended trigonometric Cherednik algebras and nonstationary Schr\"odinger equations with delta-potentials [PDF]

, 2012
We realize an extended version of the trigonometric Cherednik algebra as affine Dunkl operators involving Heaviside functions. We use the quadratic Casimir element of the extended trigonometric Cherednik algebra to define an explicit nonstationary Schr ...
Gaudin M., Heckman G. J., J. T. Hartwig, J. V. Stokman, Opdam E. M.   +4 more
core   +2 more sources

Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We consider trigonometric solutions of WDVV equations and derive geometric conditions when a collection of vectors with multiplicities determines such a solution.
Misha V. Feigin
doaj   +1 more source

Computational Technique to Study Analytical Solutions to the Fractional Modified KDV-Zakharov-Kuznetsov Equation

Abstract and Applied Analysis, 2022
In this article, we study and investigate the analytical solutions of the space-time nonlinear fractional modified KDV-Zakharov-Kuznetsov (mKDV-ZK) equation.
Mohamed A. Abdoon, Faeza Lafta Hasan, Nidal E. Taha   +2 more
doaj   +1 more source