Modified Laplace transformation method at finite temperature: application to infra-red problems of N component φ 4 theory ABSTRACT Modified Laplace transformation method is applied to N component φ 4 theory and the finite temperature problem in the massless limit is reexamined in the large N limit. We perform perturbation expansion of the dressed thermal mass in the massive case to several orde...

In this paper, a new generalized F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the (2+1)-dimensional dispersive long wave equations to illustrate the validity and advantages of the proposed method. As a result, many new and more general exact non-traveling wave and coefficient function solutions are obtai...

and Applied Analysis 3 Lemma 6. For the construction of a method with nullification of phase lag, amplification error, and their derivatives, onemust satisfy the conditions R(z) = 2 cos(z), Q(z) = 1, R(z) = −2 sin(z), Q(z) = 0. 4. Derivation of the New Modified RKN Method The new method that we are going to develop in this section, is a four-stage explicit Runge-Kutta-Nyström method with the FS...

Abstract. In this study we developed and modified Taylor expansion method for approximating the solution of linear Fredholm and Volterra integro-differential equations. Via Taylor’s expansion of the unknown function at an arbitrary point, the integro-differential equations to be solved is approximately transformed into a system of linear equations for the unknown and its derivatives which can b...

Consider a power series f ∈ R[[z]], which is obtained by a precise mathematical construction. For instance, f might be the solution to some differential or functional initial value problem or the diagonal of the solution to a partial differential equation. In cases when no suitable method is beforehand for determining the asymptotics of the coefficients fn, but when many such coefficients can b...

In this paper, a generalized F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the (2 + 1)dimensional breaking soliton equations to illustrate the validity and advantages of the proposed method. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained includin...

Recently, Amendola et al. proposed a geometrical theory of gravity containing higher-order derivative terms. The authors introduced anticurvature scalar $(A)$, which is the trace inverse Ricci tensor ($A^{\mu\nu} = R_{\mu\nu}^{-1}$). In this work, we consider two classes Ricci-inverse -- Class I and II models. models are form $f(R, A)$ where $f$ function scalars. ${\cal F}(R, A^{\mu\nu}A_{\mu\n...

F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number of Jacobi-elliptic function solutions are obtained including the Weierstrass-elliptic function solutions. When the modulus m of Jacobi-ellipti...