Search Results - "Elboree, Mohammed. K."
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Construction of shock, periodic and solitary wave solutions for fractional-time Gardner equation by Jacobi elliptic function method
Published in Optical and quantum electronics (01-03-2024)“…The investigation revolved around the study of the time fractional Gardner equation, which was examined in terms of the conformable derivative. The reduction…”
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2
A symbolic computation approach and its application to the Kadomtsev-Petviashvili equation in two (3+1)-dimensional extensions
Published in AIMS mathematics (01-01-2022)“…This work examines the multi-rogue-wave solutions for the Kadomtsev-Petviashvili (KP) equation in form of two (3+1)-dimensional extensions, which are soliton…”
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3
Conservation laws, soliton solutions for modified Camassa–Holm equation and (2 + 1)-dimensional ZK–BBM equation
Published in Nonlinear dynamics (01-09-2017)“…By using the multiplier approach, we construct the conservation laws and the corresponding conserved quantities for the modified Camassa–Holm equation and…”
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Wave solutions in (3 + 1)-dimensional generalized fractional mKdV-ZK equation utilizing jacobi elliptic functions
Published in Physica scripta (01-05-2024)“…In this research, we investigate the effects of fractional order on the (3 + 1)-dimensional generalized space-time fractional modified KdV-Zakharov-Kuznetsov…”
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Variational approach, soliton solutions and singular solitons for new coupled ZK system
Published in Computers & mathematics with applications (1987) (01-09-2015)“…In this paper, we obtain a variational principle for the new coupled Zakharov–Kuznetsov (ZK) system by the semi-inverse method. Based on this formulation, a…”
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The Jacobi elliptic function method and its application for two component BKP hierarchy equations
Published in Computers & mathematics with applications (1987) (01-12-2011)“…The periodic wave solutions for the two component BKP hierarchy are obtained by using of Jacobi elliptic function method, in the limit cases, the multiple…”
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7
Traveling wave solutions to the nonlinear space–time fractional extended KdV equation via efficient analytical approaches
Published in Alexandria engineering journal (01-11-2023)“…In this paper, the nonlinear space-time fractional extended Korteweg-de Vries (F-eKdV) equation involving the conformable fractional derivative (CFD) is…”
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Hyperbolic and trigonometric solutions for some nonlinear evolution equations
Published in Communications in nonlinear science & numerical simulation (01-11-2012)“…► Hyperbolic, trigonometric solutions for some nonlinear evolution equations are obtained. ► The (G′G) method appears to be easier and faster by means of…”
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New soliton solutions for a Kadomtsev–Petviashvili (KP) like equation coupled to a Schrödinger equation
Published in Applied mathematics and computation (15-01-2012)“…The repeated homogeneous balance is used to construct a new exact traveling wave solution of the Kadomtsev–Petviashvili (KP) like equation coupled to a…”
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10
Soliton solutions and periodic solutions for two models arises in mathematical physics
Published in AIMS mathematics (2022)“…We aimed in this paper to acquire the periodic wave solutions and soliton solutions and other solutions such as kink-wave solutions for the cubic nonlinear…”
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Derivation of soliton solutions to nonlinear evolution equations using He’s variational principle
Published in Applied mathematical modelling (15-07-2015)“…In this study, He’s semi-inverse variational principle is applied to obtain traveling wave solutions of the coupled nonlinear Schrödinger type equations. Both…”
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12
Conservation laws, soliton solutions and periodic solutions for generalized coupled Zakharov–Kuznetsov equations
Published in Chaos, solitons and fractals (01-11-2017)“…•The conservation laws and the corresponding conserved quantities for the generalized coupled Zakharov–Kuznetsov equations by multiplier approach.•Soliton…”
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13
Dynamical system approach and exp(-Φ(ζ)) Expansion method for optical solitons in the complex nonlinear Fokas–Lenells model of optical fiber
Published in Optical and quantum electronics (29-03-2024)“…The complex nonlinear Fokas–Lenells (FL) equation to obtain the explicit travelling wave solutions under different values parameters such as solitary wave…”
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14
Applications of the extended test approach to (2 + 1)-dimensional Gardner equation
Published in Indian journal of pure and applied mathematics (01-08-2014)“…Based on the extended test approach (ETA), we investigated the nonlinear evolution equations, namely, (2 + 1)-dimensional Gardner equation. We aimed to obtain…”
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