Yazar "Hashemi, Mir Sajjad" için listeleme
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New optical solitons for Biswas-Arshed equation with higher order dispersions and full nonlinearity
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa; Hashemi, Mir Sajjad (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2020)In this paper, the extended Jacobi's elliptic function approach is used to solve the Biswas–Arshed equation in two different types. This method reveals several optical solitons including traveling wave solutions. The ... -
On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
Hashemi, Mir Sajjad; İnç, Mustafa; Parto-Haghighi, Mohammad; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the related variable u(x, t) ... -
Symmetry Properties and Exact Solutions of the Time Fractional Kolmogorov-Petrovskii-Piskunov Equation
Hashemi, Mir Sajjad; İnç, Mustafa; Bayram, Mustafa (SOC MEXICANA FISICA, APARTADO POSTAL 70-348, COYOACAN 04511, MEXICO, 2019)In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP is reduced to ordinary differential equation of fractional order via the attained ... -
Two reliable methods for solving the forced convection in a porous-saturated duct
Hashemi, Mir Sajjad; İnç, Mustafa; Seyfi, Negar; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2020)In this paper, the solution of nonlinear forced convection in a porous saturable duct is numerically approximated by two different approaches. The first one is a Lie group integrator based on the group SL2(R), whose ...
