Results 141 to 150 of about 1,197 (185)

Design of Mixed-Mode Analog PID Controller with CFOAs. [PDF]

Sensors (Basel)
Roongmuanpha N, Satansup J, Pukkalanun T, Tangsrirat W.   +3 more
europepmc   +1 more source

Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]

Sci Rep
Zhou P, Manafian J, Lakestani M, Ilhan OA, Bahador NJ, Fattah AA, Mahmoud KH, Nuray R, Nagiyeva N.   +8 more
europepmc   +1 more source

Symmetries and integrable systems. [PDF]

Fundam Res
Lou SY, Feng BF.
europepmc   +1 more source

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Exact solutions for coupled KdV equation and KdV equations

Physics Letters, Section A: General, Atomic and Solid State Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim E Inan
exaly   +2 more sources

Reduction of KdV and Cylindrical KdV Equations to Painlevé Equation

Journal of the Physical Society of Japan, 1982
Similarity solutions of the KdV and cylindrical KdV equations are studied by means of Lie's method of infinitesimal transformation groups. It is shown that the KdV equation is reduced to the Painleve transcendental equation of the first or second kind.
Masayoshi Tajiri, Shunji Kawamoto
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KdV Equations and Integrability Detectors

Acta Applicandae Mathematicae, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grammaticos, B., Papageorgiou, V., Ramani, A.   +2 more
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On coupled KdV equations

Physics Letters A, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantizing the KdV Equation

Theoretical and Mathematical Physics, 2001
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A new integrable equation that combines the KdV equation with the negative‐order KdV equation

Mathematical Methods in the Applied Sciences, 2017
In this work, we develop a new integrable equation by combining the KdV equation and the negative‐order KdV equation. We use concurrently the KdV recursion operator and the inverse KdV recursion operator to construct this new integrable equation. We show that this equation nicely passes the Painlevé test.
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PSEUDOPOTENTIAL METHOD APPLIED TO KdV EQUATION AND HIGHER DEGREE KdV EQUATION

Acta Mathematica Scientia, 1984
Using the invariance of KdV equation under a Galilean transformation we obtain Newton's equation with the first approximation under the generalized meaning of a weak gravitation field, i.e. \[ (A)\quad \partial^ 2\phi /\partial x'{}^ 2=-\partial V(\phi)/\partial \phi \] where \(V(\phi)=(1/6)\phi^ 3-(1/2)v\phi^ 2-k\phi\) is called pseudopotential.
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