Results 11 to 20 of about 1,197 (185)
Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation. [PDF]
PLoS ONE, 2014 In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed.
Gang Wei Wang, Tian Zhou Xu, Tao Feng
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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.
Satoshi Tsujimoto, Ryogo Hirota
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Soliton-like Solutions of General Variable Coefficient Cylindrical/Spherical KdV Equation
Mathematics, 2022 The general variable coefficient cylindrical/spherical KdV equation has been investigated by using the simplified homogeneous balance method. It has been proven that if its coefficients satisfy certain constraint conditions, then the cylindrical ...
Lingxiao Li, Mingliang Wang
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Four Symmetries of the KdV Equation
Journal of Nonlinear Science, 2022 22 ...
Alexander G. Rasin, Jeremy Schiff
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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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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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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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New numerical solutions of fractional-order Korteweg-de Vries equation
Results in Physics, 2020 We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving.
Mustafa Inc +3 more
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