Results 11 to 20 of about 3,516,005 (280)
Symmetry, 2023 KdV equations have a lot of applications of in fluid mechanics. The exact solutions of the KdV equations play a vital role in the wave dynamics of fluids. In this paper, some new exact solutions of a generalized geophysical KdV equation are computed with
Surapol Naowarat +3 more
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Journal of Mathematics, 2021 The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which models and governs the evolution of fixed wave structures.
Tahir Ayaz +5 more
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Ultradiscrete KdV Equation [PDF]
Journal of the Physical Society of Japan, 1998 Summary: We propose an ultradiscrete KdV equation in a coupled form and a Miura transformation relating it to the ultradiscrete Lotka-Volterra equation. Moreover we show that the ultradiscrete KdV equation under an appropriate boundary condition is equivalent to Takahashi's soliton cellular automaton.
Tsujimoto, Satoshi, Hirota, Ryogo
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Nonlinear dynamics, 2021 Recently, the physics-informed neural networks (PINNs) have received more and more attention because of their ability to solve nonlinear partial differential equations via only a small amount of data to quickly obtain data-driven solutions with high ...
Jiaheng Li, Junchao Chen, Biao Li
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The Schrödinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel
Alexandria Engineering Journal, 2021 Fractional order differential equations are utilized for modeling many complicated physical and natural phenomena in nonlinear sciences and related fields. In this manuscript, the fractional order Schrodinger-KdV equation in the sense of Atangana-Baleanu
Mehmet Yavuz +3 more
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Journal of Ocean Engineering and Science, 2021 In this paper, new explicit unidirectional wave solutions for the modified-mixed KdV equation and bidirectional waves for the Benjamin Ono equation are studied. New extension of the rational sine-cosine and sinh-cosh methods are used.
Marwan Alquran +2 more
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On the rogue wave solution in the framework of a Korteweg–de Vries equation
Results in Physics, 2021 In this study, the propagation mechanism of the unstable modulated structures (e.g., rogue wave (RW)) in the framework of the family of a Korteweg–de Vries (KdV) equation is discussed.
Wedad Albalawi +2 more
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Journal of Ocean Engineering and Science, 2022 This paper studied new class of integral equation called the Korteweg-de Vries-Kadomtsev-Petviashvili (KdV-KP) equation. This equation consist of the well-known fifth-order KdV equation in the context of the Kadomtsev-Petviashvili equation.
Lanre Akinyemi +3 more
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Journal of Mathematical Physics, 2011 We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV equation and its symmetries. We show that all these equations have the same 3-soliton solution structures. The only difference in these solutions are the dispersion relations. We also show that they possess the Painlevé property.
Gurses, M., Pekcan, A.
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Exact Traveling Waves of a Generalized Scale-Invariant Analogue of the Korteweg–de Vries Equation
Mathematics, 2022 In this paper, we study a generalized scale-invariant analogue of the well-known Korteweg–de Vries (KdV) equation. This generalized equation can be thought of as a bridge between the KdV equation and the SIdV equation that was discovered recently, and ...
Lewa’ Alzaleq +2 more
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