The genesis of two-hump, W-shaped and M-shaped soliton propagations of the coupled Schrödinger–Boussinesq equations with conformable derivative
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DOI: 10.1007/s11082-021-02956-2
Abstract: This work oversees with the coupled Schrödinger–Boussinesq equations with conformable derivative, which have lots of applications in laser and plasma. The said equations are reduced to a coupled stationary form using complex travelling wave transformation.… read more here.
Keywords: boussinesq equations; equations conformable; conformable derivative; dinger boussinesq ... See more keywords
Deep neural network method for solving the fractional Burgers-type equations with conformable derivative
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DOI: 10.1088/1402-4896/acd307
Abstract: In this article, we introduce the modified physics-informed neural network (PINN) method for finding data-driven solutions of three classes of time-fractional Burgers-type equations under the conformable sense. Since conformable derivative satisfies the chain rule, automatic… read more here.
Keywords: neural network; type equations; equations conformable; fractional burgers ... See more keywords
White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives
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DOI: 10.1186/s13662-020-02698-7
Abstract: The aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation. So, a new technique, which we call… read more here.
Keywords: stochastic nonlinear; equations conformable; nonlinear evolution; evolution equations ... See more keywords