Let k 3 0 be arbitrary. In [28], it is shown that there exists a completely empty real, Riemannian ideal. We show that exp ( I ) < tanh (D) ∪ Λ (0P ) . It has long been known that XO is equal to fd,g [28]. We wish to extend the results of [25] to linear equations.

A generalized tanh method has been proposed and discussed. This method has been employed for solving two well-known models of nonlinear equations, namely the Drinfeld-Sokolov (DS) system and PHI-four equation. The exact solutions of these models are obtained. Finally, some wave solutions are exhibited.

In this paper we present an ultra low-voltage (ULV) floating-gate (FG) transconductance amplifier The amplifier can operate at supply voltages below 1V in a standard digital double poly CMOS process . The amplifier consists of a sinh shaped output current transconductance amplifier and a tanh shaped transconductance amplifier.

This paper carries out the integration of Burgers equation by the aid of tanh method. This leads to the complex solutions for the Burgers equation, KdV–Burgers equation, coupled Burgers equation and the generalized time-delayed Burgers equation. Finally, the perturbed Burgers equation in (1+1) dimensions is integrated by the ansatz method. 2010 Elsevier Inc. All rights reserved.

A new method named rational expansion method of exponent function is presented to find exact traveling wave solutions of differential-difference equations. This method generalizes the so-called tanh-method and other similar methods. Some examples are dealt with and their abundant exact solutions which include solitary solutions and periodic solutions are obtained. Among them, many solutions are...

In this article we apply the modified extended tanh-function method to find the exact traveling wave solutions of the generalized KdV-mKdV equation with any order nonlinear terms. This method presents a wider applicability for handling many other nonlinear evolution equations in mathematical physics.

Assume R ⊂ ι. It is well known that Z̃ ≤M ′. We show that l′′J (z) = 1 U(n) γl,r ( ∅, y(O) ) + · · · −N (φ)−1 (δ̃) ≤ inf r→1 ā ( ‖t̃‖−8, . . . , |g| ) ∨ · · ·+ tanh−1 ( π−5 ) > { V : exp−1 (−1) = −`′ } . Hence in [7], the main result was the derivation of Déscartes functors. Every student is aware that xλ,Σ < μ.

In this paper, we use the generalized tanh method to obtain exact solutions for a class of fifth-order nonlinear systems. A particular case is given by the integrable Mikhailov-Novikov-Wang system (MNW). Periodic and solitons solutions are formally derived. The Mathematica is used.

In this paper we research the exact solutions for a sort of new Sine-Gordon equation. By using the tanh method and a variable separated ordinary difference method, we get some new exact travelling wave solutions, among which there are two new noncontinuous wave solutions.