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Published in 2018 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-018-9386-5
Abstract: The article analyzes computations of low-frequency electrodynamic fields in a nonhomogeneous conducting medium using the integral equation method. Contrast effects arise when the nonhomogeneities are embedded in a low-conductivity medium. As the conductivity of the…
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Keywords:
low frequency;
integral equation;
equation method;
electrodynamics ... See more keywords
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Published in 2018 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-018-1416-1
Abstract: The generalized projective Riccati equation method is proposed to establish exact solutions for generalized form of the reaction Duffing model in fractional sense namely, Khalil’s derivative. The compatible traveling wave transform converts the governing equation…
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Keywords:
riccati equation;
equation method;
generalized projective;
projective riccati ... See more keywords
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Published in 2021 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2021.08.026
Abstract: We present a fast algorithm with small memory storage to compute the spatiotemporal boundary integral equation method (ST-BIEM) particularly for the elastodynamic problem. The time complexity of the spatiotemporal convolution and memory consumption to store…
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Keywords:
boundary integral;
time;
method;
equation method ... See more keywords
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Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2016.11.101
Abstract: Abstract This paper applied modified simple equation method to extract soliton solutions to birefringent fibers, in presence of perturbation terms. Both Kerr law and parabolic law of nonlinearity are studied. Dark and singular optical soliton…
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Keywords:
simple equation;
birefringent fibers;
modified simple;
equation method ... See more keywords
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Published in 2018 at "Optik"
DOI: 10.1016/j.ijleo.2018.04.087
Abstract: Abstract The trial equation method is applied to obtain soliton solutions to Lakshmanan–Porsezian–Daniel model in optical fibers, PCF and metamaterials. This integration procedure is implemented into the model with three forms of nonlinearity. Bright, dark…
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Keywords:
lakshmanan porsezian;
equation method;
daniel model;
model ... See more keywords
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Published in 2019 at "International Journal of Thermal Sciences"
DOI: 10.1016/j.ijthermalsci.2019.01.011
Abstract: Abstract An improved integral equation method based on radiation distribution factors (RDFIEM) is developed to solve the radiative intensity with high directional resolution in semitransparent media with graded refractive index (GRI). The radiation distribution factors…
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Keywords:
radiation;
radiative intensity;
distribution factors;
radiation distribution ... See more keywords
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Published in 2017 at "Results in physics"
DOI: 10.1016/j.rinp.2017.10.048
Abstract: Abstract The modification of the expansion method, namely, the New Modified Simple Equation Method is presented and subsequently implemented on nonlinear partial differential equations. The implementation of the new modification is demonstrated by solving Landau-Ginburg-Higgs…
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Keywords:
equation method;
new modification;
simple equation;
equation ... See more keywords
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Published in 2017 at "Superlattices and Microstructures"
DOI: 10.1016/j.spmi.2017.07.004
Abstract: Abstract This paper obtains optical soliton solution to perturbed nonlinear Schrodinger's equation by modified simple equation method. There are four types of nonlinear fibers studied in this paper. They are Anti-cubic law, Quadratic-cubic law, Cubic-quintic-septic…
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Keywords:
modified simple;
equation method;
law;
simple equation ... See more keywords
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Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1487555
Abstract: ABSTRACT In this paper, we use the extended trial equation method (ETEM) to construct the exact solutions in many different functions such as the trigonometric function, elliptic integral function, rational function, hyperbolic function and Jacobi…
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Keywords:
extended trial;
equation method;
method;
equation ... See more keywords
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Published in 2019 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2019.1603413
Abstract: ABSTRACT In this paper, the conformable sub-equation method is proposed to construct exact solutions of the space-time resonant nonlinear Schrödinger equation (R-NLSE). Conformable derivatives are described by Atangana's-conformable derivative. Some soliton solutions are constructed under…
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Keywords:
nonlinear schr;
sub equation;
equation method;
equation ... See more keywords
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Published in 2019 at "Journal of Communications Technology and Electronics"
DOI: 10.1134/s1064226919110226
Abstract: A method for solving boundary value problems for irregular waveguides that combines the generalized Lorentz lemma with a collocation technique is proposed. The method allows one to reduce boundary value problems to systems of integro-differential…
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Keywords:
integral equation;
equation method;
method;
irregular waveguides ... See more keywords