Articles with "like equations" as a keyword



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Modified Kudryashov method and its application to the fractional version of the variety of Boussinesq-like equations in shallow water

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Published in 2018 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-018-1399-y

Abstract: The present study emphasis to look for new closed form exact solitary wave solutions for the variety of fractional Boussinesq-like equations using the modified Kudryashov method with the help of symbolic computation. As a consequence,… read more here.

Keywords: kudryashov method; boussinesq like; like equations; modified kudryashov ... See more keywords
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TAN(F(ξ2))-expansion method for traveling wave solutions of AKNS and Burgers-like equations

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Published in 2017 at "Optik"

DOI: 10.1016/j.ijleo.2017.02.087

Abstract: Abstract In this paper, we implemented t a n ( F ( ξ 2 ) ) -expansion method for the traveling wave solutions of the dissipative (2 + 1)-dimensional AKNS equation (Ablowitz-Kaup-Newell-Segur) and Burgers-like equations. We obtain… read more here.

Keywords: method traveling; wave solutions; expansion method; like equations ... See more keywords
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A hybrid analytical algorithm for nonlinear fractional wave-like equations

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Published in 2019 at "Mathematical Modelling of Natural Phenomena"

DOI: 10.1051/mmnp/2018063

Abstract: In this work, we aim to present a hybrid numerical scheme based on the homotopy analysis transform method (HATM) to examine the fractional model of nonlinear wave-like equations having variable coefficients, which narrate the evolution… read more here.

Keywords: analytical algorithm; hybrid analytical; like equations; nonlinear fractional ... See more keywords
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Rational solutions to two Sawada–Kotera-like equations

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Published in 2019 at "Modern Physics Letters B"

DOI: 10.1142/s0217984919501082

Abstract: Two Sawada–Kotera-like equations are introduced by the generalized bilinear operators [Formula: see text] associated with two prime numbers [Formula: see text] and [Formula: see text], respectively. Rational solutions of the two presented Sawada–Kotera-like equations are… read more here.

Keywords: kotera like; rational solutions; like equations; two sawada ... See more keywords
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Comparison of fuzzy Adomian decomposition method with fuzzy VIM for solving fuzzy heat-like and wave-like equations with variable coefficients

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Published in 2020 at "Advances in Difference Equations"

DOI: 10.1186/s13662-020-02784-w

Abstract: In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations with variable coefficients, in the sense of gH-differentiability. The methods… read more here.

Keywords: wave like; heat like; solving fuzzy; fuzzy heat ... See more keywords