In this paper, we consider the (3 + 1)-dimensional fractional-stochastic quantum Zakharov–Kuznetsov equation (FSQZKE) with M-truncated derivative. To find novel trigonometric, hyperbolic, elliptic, and rational fractional solutions, two techniques are used: Jacobi elliptic function approach modified F-expansion method. We also expand on a few earlier findings. The extended has practical applica...

We prove several vanishing theorems for a class of generalized elliptic genera on foliated manifolds, by using classical equivariant index theory. The main techniques are the use of the Jacobi theta-functions and the construction of a new class of elliptic operators associated to foliations.

New results concerning the orbital stability of periodic traveling wave solutions for 'abcd' Boussinesq model will be shown in this manuscript. For existence solutions, we use basic tools ordinary differential equations to show that corresponding depends on Jacobi elliptic function cnoidal type. The spectral analysis associated linearized operator is determined by using some Floquet theory. the...

In this paper,the traditional G′/G-expansion method is improved and a generalized G′/G-expansion method is proposed to seek exact solutions of nonlinear evolution equations.And we choose Benjamin-Bona-Mahony equation,(2+1) dimensional generalized Zakharov-Kuznetsov equation and variant Bousinessq equations to illustrate the validity and advantages of the proposed method.It is shown that the pro...

For the fifth Painlevé transcendents, an asymptotic representation by Jacobi sn-function is presented in cheese-like strips along generic directions near point at infinity. Its elliptic main part depends on a single integration constant, which phase shift and parametrized monodromy data for associated isomonodromy deformation. In addition, under certain supposition, error term also expressed ex...

This paper is concerned with the system of Zakharov equations which involves the interactions between Langmuir and ion-acoustic waves in plasma. Abundant explicit and exact solutions of the system of Zakharov equations are derived uniformly by using the first integral method. These exact solutions are include that of the solitary wave solutions of bell-type for n and E, the solitary wave soluti...

We take into account here the stochastic-fractional Broer–Kaup equations (SFBKEs) perturbed by multiplicative Wiener process. To get rational, hyperbolic, and elliptic stochastic solutions for SBKEs, we utilize Jacobi function method. The derived are significantly more useful effective in comprehending various important challenging physical phenomena due to of SFBKEs describing propagation shal...

We give a general overview of the Donaldson-Thomas invariants of elliptic fibrations and their relation to Jacobi forms. We then focus on the specific case of where the fibration is S×E, the product of aK3 surface and an elliptic curve. Oberdieck and Pandharipande conjectured [11] that the partition function of the Gromov-Witten/DonaldsonThomas invariants of S × E is given by minus the reciproc...

ABSTRACT An accurate closed-form solution for the quintic Duffing equation is obtained using a cubication method. In this method the restoring force is expanded in Chebyshev polynomials and the original nonlinear differential equation is approximated by a cubic Duffing equation in which the coefficients for the linear and cubic terms depend on the initial amplitude. The replacement of the origi...