In this paper, based on the known first integral method, we try to seek the traveling wave solutions of several nonlinear evolution equations. As a result, some exact travelig wave solutions and solitary solutions for Whitham-Broer-Kaup (WBK) equations, Gardner equation, Boussinesq-Burgers equations, nonlinear schrodinger equation and mKDV equation are established successfully. Key–Words: First...

In this paper, a new technique using tensor product is presented in order to provide exact solutions some certain fractional differential equations. Particularly, the well-known third Gardner’s equation, which also known contexts as KdV-mKdV, of type. This type equations plays an important role modeling many symmetric and asymmetric problems. Moreover, existence atomic solution for second has b...

The adiabatic parameter dynamics of solitons due to Gardner’s equation is obtained, in presence of the perturbation terms, by the aid of soliton perturbation theory. In addition, the integrals of motion are evaluated as well as the variation of the velocity is obtained due to these perturbation terms. Mathematics Subject Classification: 35Q51, 35Q53, 37K10 PACS Codes: 02.30.Jr, 02.30.Ik 788 A. ...

detection of subsurface structures by means of gravity method can be used to determine mass distribution and density contrast of rock units. this distribution could be detected by different geophysical methods, especially gravity method. however, gravity techniques have some drawbacks and can't be always successful in distinguishing subsurface structures. performance of the gravity technique co...

In this paper, we consider the derivation of the Kadomtsev-Petviashvili (KP) equation for cold ion-acoustic wave in the long wavelength limit of the two-dimensional quantum Euler-Poisson system, under different scalings for varying directions in the Gardner-Morikawa transform. It is shown that the types of the KP equation depend on the scaled quantum parameter H > 0. The QKP-I is derived for H ...

The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ( ′ G )-expansion method. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. When these parameters are taken special values, the solitary wave ...