N = 4 super KdV equation [PDF]
Physics Letters B, 1993 We construct $N=4$ supersymmetric KdV equation as a hamiltonian flow on the $N=4\;SU(2)$ super Virasoro algebra. The $N=4$ KdV superfield, the hamiltonian and the related Poisson structure are concisely formulated in $1D \;N=4$ harmonic superspace.
Delduc, F., Ivanov, E.
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Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
Results in Physics, 2017 This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi +4 more
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Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
, 2011 The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Blower, Gordon
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Journal of Ocean Engineering and Science, 2019 Using the Lie symmetry approach, the author has examined traveling wave solutions of coupled Benjamin–Bona–Mahony-KdV equation. The coupled Benjamin–Bona–Mahony-KdV equation is reduced to nonlinear ordinary differential equations for all optimal ...
Vikas Kumar
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Two new Painlev´e integrable KdV–Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation and new negative-order KdV-CBS equation [PDF]
Nonlinear Dynamics, 2021 Abstract In this work, we develop two new (3+1)-dimensional KdV–Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation and (3+1)-dimensional negative-order KdV-CBS (nKdV-nCBS) equation. The newly developed equations pass the Painlev´e integrability test via examining the compatibility conditions for each developed model.
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Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation
Advances in Mathematical Physics, 2019 In this paper, with the help of symbolic computation, three types of rational solutions for the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation are derived.
Yan Li, Temuer Chaolu, Yuexing Bai
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Exact analytical solution of viscous Korteweg-deVries equation for water waves [PDF]
, 2016 The evolution of a solitary wave with very weak nonlinearity which was originally investigated by Miles [4] is revisited. The solution for a one-dimensional gravity wave in a water of uniform depth is considered.
Sajjadi, S. G., Smith, T. A.
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Dynamical properties of dust-ion-acoustic wave solutions in a nonextensive collisional dusty plasma
Journal of Taibah University for Science, 2021 Dynamical properties of dust-ion-acoustic waves (DIAWs) are analysed in a collisional nonextensive dusty plasma composing of mobile ions, q-nonextensive electrons and stationary dust grains with slight collisions between dusts and ions.
Puja Sharma +3 more
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Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation
Results in Physics, 2018 In this work, the variable-coefficient modified Burgers-KdV equation, which arises in modeling various physical phenomena, is studied for exact and numerical solution based on Lie symmetry.
Vikas Kumar +3 more
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On a hierarchy of nonlinearly dispersive generalized Korteweg–de Vries evolution equations; pp. 212–218 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 We propose a hierarchy of nonlinearly dispersive generalized Kortewegâde Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes.
Ivan C. Christov
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