Articles with "equation method" as a keyword



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The Integral-Equation Method in Low-Frequency Electrodynamics of Nonhomogeneous Contrast Media

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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… read more here.

Keywords: low frequency; integral equation; equation method; electrodynamics ... See more keywords
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Traveling wave solution of conformable fractional generalized reaction Duffing model by generalized projective Riccati equation method

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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… read more here.

Keywords: riccati equation; equation method; generalized projective; projective riccati ... See more keywords
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A log-linear time algorithm for the elastodynamic boundary integral equation method

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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… read more here.

Keywords: boundary integral; time; method; equation method ... See more keywords
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Optical solitons in birefringent fibers with modified simple equation method

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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… read more here.

Keywords: simple equation; birefringent fibers; modified simple; equation method ... See more keywords
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Optical solitons for Lakshmanan–Porsezian–Daniel model with dual-dispersion by trial equation method

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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… read more here.

Keywords: lakshmanan porsezian; equation method; daniel model; model ... See more keywords
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Improved integral equation method based on radiation distribution factors for high-resolution radiative intensity in graded index media

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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… read more here.

Keywords: radiation; radiative intensity; distribution factors; radiation distribution ... See more keywords
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A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature

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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… read more here.

Keywords: equation method; new modification; simple equation; equation ... See more keywords
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Perturbed dark and singular optical solitons in polarization preserving fibers by modified simple equation method

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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… read more here.

Keywords: modified simple; equation method; law; simple equation ... See more keywords
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Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method

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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… read more here.

Keywords: extended trial; equation method; method; equation ... See more keywords

Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method

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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… read more here.

Keywords: nonlinear schr; sub equation; equation method; equation ... See more keywords
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Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma

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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… read more here.

Keywords: integral equation; equation method; method; irregular waveguides ... See more keywords