Results 1 to 10 of about 23,023 (171)
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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Quantum lattice KdV equation [PDF]
Letters in Mathematical Physics, 1995 A quantum theory is developed for a difference-difference system which can serve as a toy-model of the quantum Korteveg-de-Vries equation.Comment: 12 pages ...
Volkov, A. Yu.
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Loop Groups and Discrete KdV Equations [PDF]
Nonlinearity, 2002 A study is presented of fully discretized lattice equations associated with the KdV hierarchy. Loop group methods give a systematic way of constructing discretizations of the equations in the hierarchy. The lattice KdV system of Nijhoff et al.
Bobenko A I +14 more
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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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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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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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