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THE FIRST EULERIAN INTEGRAL

open access: yesTHE FIRST EULERIAN INTEGRAL
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Analysis of traveling wave solutions of two space-time nonlinear fractional differential equations by the first-integral method

Modern physics letters B, 2023
The intent of this work to implement first-integral method to study traveling wave solutions of some space-time nonlinear fractional differential equations (FDEs) and present their graphical simulations for analyzing different wave profiles.
S. Behera
semanticscholar   +1 more source

Dynamical solitons for the perturbated Biswas–Milovic equation with Kudryashov's law of refractive index using the first integral method

Journal of Modern Optics, 2021
The Biswas–Milovic equation in polarization preserving fibres is investigated in this study, along with Kudryashov's law and nonlinear perturbation terms. This nonlinear model may be thought of as a more precise approximation to the nonlinear Schrödinger
L. Akinyemi   +3 more
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Application of the first integral method for solving (1 + 1) dimensional cubic-quintic complex Ginzburg–Landau equation

Optik (Stuttgart), 2018
The main object of this paper is to construct the new exact solutions of a nonlinear evolution equation that appears in mathematical physics, specifically complex cubic-quintic Ginzburg–Landau equation by the first integral method.
G. Akram, N. Mahak
semanticscholar   +1 more source

Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in ℝ n

, 2019
We show that a vector field in ℝ n {\mathbb{R}^{n}} can be reconstructed uniquely from the knowledge of restricted Doppler and first integral moment transforms.
Rohit Kumar Mishra
semanticscholar   +1 more source

Elliptic Integrals of the First Kind

SIAM Journal on Mathematical Analysis, 1977
The reciprocal square root of any real polynomial with known zeros and degree not exceeding four is integrated in terms of a standard integral by a new quadratic transformation which preserves symmetry in the zeros. If at least one zero is real, this method, unlike earlier methods, leads to a single standard integral instead of a difference of two ...
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On an integral equation of first kind

Siberian Mathematical Journal, 1991
In \(\mathbb{R}^3\) the family \(\Gamma\) of straight lines \(\xi_1 = x_1 + (\xi_3 - x_3) \cos \alpha\), \(\xi_2 = x_2 + (\xi_3 - x_3) \sin \alpha\), \(0 \leq \alpha \leq 2 \pi\), passing through the point \(x = (x_1, x_2, x_3)\), and the equation \[ \int_\Gamma u(\xi)d \ell + \int_{\mathbb{R}^3} \theta (k) \rho (\alpha, x, \xi) u(\xi)d \xi = v(x ...
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The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by first integral method and functional variable method

Optical and quantum electronics, 2022
Safoura Rezaei Aderyani   +3 more
semanticscholar   +1 more source

The first integral method and some nonlinear models

Computational and Applied Mathematics, 2021
A. Ghosh, S. Maitra
semanticscholar   +1 more source

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