Results 21 to 30 of about 12,041,533 (315)
, 2020 In this article, we establish the existence of solutions for a functional integral equation of fractional order. The study upholds the case when the set-valued function has L1-Carathèodory selections, we reformulate the functional integral inclusion ...
A. El-Sayed, S. Al-Issa
semanticscholar +1 more source
The stability of bright–dark solitons in defocusing coupled nonlinear Schrödinger equation
Partial Differential Equations in Applied Mathematics, 2022 The Darboux transformation is a classical method to generate the solitonic solutions for the integrable equations. In this work, we develop the Darboux transformation to analyze the spectral stability of bright–dark soliton for defocusing coupled ...
Liming Ling, Xuan Sun
doaj +1 more source
The solution of an integral equation [PDF]
Proceedings of the American Mathematical Society, 1973 Various methods are developed to solve the integral equation f ( x ) =
openaire +2 more sources
Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian
Journal of High Energy Physics, 2021 In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as gl $$ \mathfrak{gl} $$ (1) affine Yangian “spin chains” with boundaries.
Alexey Litvinov, Ilya Vilkoviskiy
doaj +1 more source
Fractal and Fractional, 2022 The celebrated Korteweg–de Vries and Kadomtsev–Petviashvili (KP) equations are prototypical examples of integrable evolution equations in one and two spatial dimensions, respectively.
Athanassios S. Fokas +2 more
doaj +1 more source
Power series reversion and exact solutions of nonlinear mathematical physics equations [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаPurpose. Develop a new method for finding exact solutions to equations of nonlinear mathematical physics. Methods. The partial sum of a perturbation series, written for the original nonlinear equation, is represented as a power series in powers of the ...
Zemlyanukhin, Aleksandr Isaevich +3 more
doaj +1 more source
Discrete Dynamics in Nature and Society, 2012 We find an interesting phenomenon that the discrete system appearing in a reference can be reduced to the old integrable system given by Merola, Ragnisco, and Tu in another reference.
Xianbin Wu, Weiguo Rui, Xiaochun Hong
doaj +1 more source
The generalized dressing method with applications to the integration of variable-coefficient Toda equations; pp. 93–98 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Integrable variable-coefficient 2D Toda lattice equations are proposed by utilizing a generalized version of the dressing method. Compatibility conditions are given, which ensures that these equations are integrable.
Hui-Hui Dai, Ting Su
doaj +1 more source
Existence of Integrals and the Solution of Integral Equations [PDF]
Transactions of the American Mathematical Society, 1977 Functions are from R to N or R ×
openaire +1 more source
On the complete integrability of an equation having solitons but not known to have a Lax pair
International Journal of Mathematics and Mathematical Sciences, 1986 It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
doaj +1 more source