Results 1 to 10 of about 549 (46)
Solutions of the perturbed KdV equation for convecting fluids by factorizations
Open Physics, 2010 In this paper, we obtain some new explicit travelling wave solutions of the perturbed KdV equation through recent factorization techniques that can be performed when the coefficients of the equation fulfill a certain condition. The solutions are obtained
Cornejo-Pérez Octavio, Rosu Haret
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Journal of Ocean Engineering and Science, 2021 In this paper, the new travelling wave solutions of the (2+1)-dimensional extended Calogero-Bogoyavlenskii-Schiff (ECBS) equation are investigated. The main aim of this work is to find the new exact solutions with the aid of relatively new (G′G′+G+A ...
A. Tripathy, S. Sahoo
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Integrable systems and modular forms of level 2 [PDF]
, 2006 A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $\Gamma_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations,
Ablowitz, Mark J +2 more
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Results in Physics, 2017 Common recipe for the Lengthening Pendulum (LP) involves some change of variables to give a relationship with the Bessel’s equation. In this work, semiclassical MAF (Modified Airy Function) solution of the LP is being obtained by first transforming the ...
Coşkun Deniz
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Baryon asymmetry at the weak phase transition in presence of arbitrary CP violation [PDF]
, 1997 We consider interactions of fermions with the domain wall bubbles produced during a first order phase transition. A new exact solution of the Dirac equations is obtained for a wall profile incorporating a position dependent CP violating phase.
Torrente-Lujan, Emilio
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Open Physics, 2016 In this manuscript we investigate electrodynamic flow. For several values of the intimate parameters we proved that the approximate solution depends on a reproducing kernel model.
Akgül Ali +3 more
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Hamiltonian formulation and integrability of a complex symmetric nonlinear system [PDF]
, 2005 The integrability of a complex generalisation of the 'elegant' system, proposed by D. Fairlie and its relation to the Nahm equation and the Manakov top is discussed.Comment: 8 pages, Physics Letters A ...
Ivanov, Rossen I.
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Transform of Riccati equation of constant coefficients through fractional procedure [PDF]
, 2003 We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as ...
A L Madue o +8 more
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On the fractional differential equations with not instantaneous impulses
Open Physics, 2016 Based on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq ∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems.
Zhang Xianmin +5 more
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Non-Integrability and Chaos in Classical Cosmology [PDF]
, 1997 A brief analysis of the dynamics of a Friedmann-Robertson-Walker universe with a conformally coupled, real, self-interacting, massive scalar field, based on the Painleve theory of differential equations, is presented.
Ablowitz +30 more
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