Asymptotic Behavior of Solutions to a New Hall-MHD System
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DOI: 10.1007/s10440-018-0170-5
Abstract: In this paper, by using Fourier splitting method and the properties of decay character r∗$r^{*}$, we consider the algebraic time decay rate of solutions to a new Hall-MHD system in Sobolev space Hm(R3)×Hm+1(R3)$H^{m}(\mathbb{R} ^{3})\times H^{m+1}(\mathbb{R}^{3})$… read more here.
Keywords: mhd system; new hall; solutions new; hall mhd ... See more keywords
Non-singular complexiton, singular complexiton and complex N-soliton solutions of the new extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
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DOI: 10.1088/1402-4896/ad2966
Abstract: The central target of this work is to extract some novel exact solutions of the new extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) for the incompressible fluid. By applying the weight algorithm (WA) and linear superposition principle… read more here.
Keywords: equation; singular complexiton; complexiton; solutions new ... See more keywords
On the Exact Solitary Wave Solutions to the New ( 2 + 1 ) and ( 3 + 1 )-Dimensional Extensions of the Benjamin-Ono Equations
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DOI: 10.1155/2021/6672819
Abstract: In this paper, the Kudryashov method to construct the new exact solitary wave solutions for the newly developed ( )- dimensional Benjamin-Ono equation is successfully employed. In the same vein, also the new ( )-… read more here.
Keywords: exact solitary; wave solutions; solitary wave; solutions new ... See more keywords