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   Articles with "first integral" as a keyword



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The center problem for Z2-symmetric nilpotent vector fields

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.05.079

Abstract: Abstract We say that a polynomial differential system x ˙ = P ( x , y ) , y ˙ = Q ( x , y ) having the origin as a singular point is… read more here.

Keywords: problem symmetric; nilpotent vector; center problem; first integral ... See more keywords

First integral method for non-linear differential equations with conformable derivative

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recommendations! Published in 2018 at "Mathematical Modelling of Natural Phenomena"

DOI: 10.1051/mmnp/2018012

Abstract: In this paper, we present an analysis based on the first integral method in order to construct exact solutions of the nonlinear fractional partial differential equations (FPDE) described by beta-derivative. A general scheme to find… read more here.

Keywords: method non; non linear; first integral; differential equations ... See more keywords

A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system

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recommendations! Published in 2017 at "Journal of Mathematical Physics"

DOI: 10.1063/1.4980086

Abstract: For a two-dimensional incompressible viscous flow, a first integral of the governing equations of motion is constructed based on a reformulation of the unsteady Navier-Stokes equations in terms of complex variables and the subsequent introduction… read more here.

Keywords: couette flow; stokes equations; first integral; unsteady couette ... See more keywords

Analytic soliton solutions to the shallow water dispersive long gravity wave equations: the first integral approach in nonlinear physics

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad5fcf

Abstract: In this article, we investigate the (2+1)-dimensional dispersive long water wave equation and the (1+1)-dimensional Phi-four equation, which describe the behavior of long gravity waves with small amplitudes, long wave propagation in oceans and seas,… read more here.

Keywords: water; long gravity; first integral; dispersive long ... See more keywords

Integral and Numerical Formulations for Seeking the Period of Non-Conservative Nonlinear Oscillator With/Without the First Integral

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recommendations! Published in 2025 at "Symmetry"

DOI: 10.3390/sym17091584

Abstract: For a non-conservative nonlinear oscillator (NCNO) having a periodic solution, the existence of the first integral is a certain symmetry of the nonlinear dynamical system, which signifies the balance of kinetic energy and potential energy.… read more here.

Keywords: nonlinear oscillator; conservative nonlinear; without first; first integral ... See more keywords