Results 61 to 70 of about 1,165,137 (176)

Frequency conversion based on three-wave parametric solitons [PDF]

, 2010
Parametric three-wave mixing in quadratic nonlinear crystals provides a versatile means of achieving widely tunable frequency conversion of laser light, thus permitting a substantial extension of the wavelength coverage of laser sources across broad ...
Degasperis, Antonio, A. DE GASPERIS, de Angelis, Costantino, Wabnitz, Stefan, DE ANGELIS C, Lombardo, Sara, S. LOMBARDO, CONFORTI M, DE GASPERIS, Antonio, Baronio, Fabio, Matteo Conforti, BARONIO F, Stefan Wabnitz, Sara Lombardo, Costantino De, Conforti, Matteo, Fabio Baronio, Antonio Degasperis   +17 more
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Unification of integrable q-difference equations

Electronic Journal of Differential Equations, 2015
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj  

Revisiting soliton contributions to perturbative amplitudes [PDF]

, 2014
Open Access funded by SCOAP3. CP is a Royal Society Research Fellow and partly supported by the U.S. Department of Energy under grants DOE-SC0010008, DOE-ARRA-SC0003883 and DOE-DE-SC0007897. ABR is supported by the Mitchell Family Foundation. We would
Papageorgakis, Constantinos, Papageorgakis, C, Constantinos Papageorgakis, Andrew B. Royston, Royston, AB, Royston, Andrew B.   +5 more
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A bilinear approach to a Pfaffian self-dual Yang-Mills equation [PDF]

, 2001
By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is ...
Gilson, C.R., Ohta, Y., Nimmo, J.J.C.
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Fractional Consistent Riccati Expansion Method and Soliton-Cnoidal Solutions for the Time-Fractional Extended Shallow Water Wave Equation in (2 + 1)-Dimension

Fractal and Fractional
In this work, a fractional consistent Riccati expansion (FCRE) method is proposed to seek soliton and soliton-cnoidal solutions for fractional nonlinear evolutional equations.
Lihua Zhang, Bo Shen, Meizhi Jia, Zhenli Wang, Gangwei Wang   +4 more
doaj   +1 more source

On Soliton Equations of Exceptional Type

Journal of Algebra, 1994
The explicit structure of soliton equations in bilinear form is studied. The equations studied are those corresponding to A-D-E-type Kac-Moody algebra in the basic representation \(L(\Lambda_ 0)\), with principal or homogeneous realization. Using results of Kac-Wakimoto, describing these equations with a generalized Casimir operator, the author is able
openaire   +2 more sources

Smooth and peaked solitons of the CH equation [PDF]

Journal of Physics A: Mathematical and Theoretical, 2010
The relations between smooth and peaked soliton solutions are reviewed for the Camassa-Holm (CH) shallow water wave equation in one spatial dimension. The canonical Hamiltonian formulation of the CH equation in action-angle variables is expressed for solitons by using the scattering data for its associated isospectral eigenvalue problem, rephrased as a
Holm, Darryl D., Ivanov, Rossen I.
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Solitons in the chiral equation [PDF]

Communications in Mathematical Physics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations [PDF]

, 2009
We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution.
Gilson, C.R., GILSON, CLAIRE R., HAMANAKA, MASASHI, Hamanaka, M., Nimmo, J.J.C., NIMMO, JONATHAN J. C.   +5 more
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Multiple soliton solutions for the (3+1) conformable space–time fractional modified Korteweg–de-Vries equations

Journal of Ocean Engineering and Science, 2018
In the present paper, multiple exact soliton solutions for the old and the newly introduced (3+1)-dimensional modified Korteweg–de-Vries equation (mKdV) will be sought.
R.I. Nuruddeen
doaj   +1 more source