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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
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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
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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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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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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
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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
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, 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
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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
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Elliptic Integrals of the First Kind
SIAM Journal on Mathematical Analysis, 1977The 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, 1991In \(\mathbb{R}^3\) 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 first integral method and some nonlinear models
Computational and Applied Mathematics, 2021A. Ghosh, S. Maitra
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