Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Padé approximation
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DOI: 10.1002/mma.5985
Abstract: This paper adopts the Adomian decomposition method and the Padé approximation techniques to derive the approximate solutions of a conformable Rosenau‐Hyman equation by considering the new definition of the Adomian polynomials. The Padé approximate solutions… read more here.
Keywords: adomian decomposition; decomposition method; solutions conformable; pad approximation ... See more keywords
New explicit soliton and other solutions for the conformable fractional Biswas-Milovic equation with Kerr and parabolic nonlinearity through an integration scheme
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DOI: 10.1016/j.ijleo.2018.05.129
Abstract: Abstract In this paper, we derived new explicit complex hyperbolic and complex trigonometric function solutions, especially dark, bright, combined dark–bright, singular, combined singular soliton and other soliton solutions from the conformable fractional Biswas–Milovic equation with… read more here.
Keywords: new explicit; fractional biswas; conformable fractional; soliton ... See more keywords
Optical solitons and other solutions to the conformable space–time fractional Fokas–Lenells equation
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DOI: 10.1016/j.ijleo.2018.06.108
Abstract: Abstract This study reveals the dark, bright, combined dark–bright, singular optical solitons and other solutions to the conformable space–time fractional Fokas–Lenells equation. We use two integral schemes in reaching such solutions. The constraints conditions which… read more here.
Keywords: conformable space; time fractional; space time; optical solitons ... See more keywords
Computational solutions of conformable space-time derivatives dynamical wave equations: Analytical mathematical techniques
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DOI: 10.1016/j.rinp.2020.103419
Abstract: Abstract In this article, the instigator sets up the profuse traveling wave solutions four types of fractional nonlinear equations in the sense of conformable derivatives by using the novel form of modified mathematical technique. The… read more here.
Keywords: conformable space; space time; physics; solutions conformable ... See more keywords
Soliton dynamics based on exact solutions of conformable fractional discrete complex cubic Ginzburg–Landau equation
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DOI: 10.1016/j.rinp.2020.103710
Abstract: Abstract The Jacobian elliptic function expansion method is modified by considering conformable fractional derivative and applying a lot of relations among Jacobian elliptic functions. This modified method is applied to derive the discrete fractional soliton… read more here.
Keywords: fractional discrete; discrete complex; conformable fractional; complex cubic ... See more keywords