An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane method, analysis of homoclinic trajectories and the like. Such an approach is seemed more vivid and free of some restrictions contained in [SIGMA 4 (2008), 053, 17 pages]
The Ostrovsky equation is an important canonical model for the undirectional propagation of weakly n...
Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here ...
A variety of methods for examining the properties and solutions of nonlinear evolution equations are...
In this paper we employ three recent analytical approaches to investigate several classes of traveli...
In this paper we employ three recent analytical approaches to investigate several classes of traveli...
In this paper we employ three recent analytical approaches to investigate sev-eral classes of travel...
Two recent papers are considered in which solitary travelling-wave solutions to the transformed redu...
It is shown that the Vakhnenko equation (VE) and the Ostrovsky-Hunter equation (OHE) are particular ...
Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation are invest...
AbstractIn this paper, we predict a new traveling wave solution of Ostrovsky equation by using He’s ...
In this Letter, auxiliary equation method is proposed for constructing more general exact solutions ...
In a recent paper by Yaşar [E. Yaşar, New travelling wave solutions to the Ostrovsky equation, Appl....
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the undirectional propagation of weakly n...
Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here ...
A variety of methods for examining the properties and solutions of nonlinear evolution equations are...
In this paper we employ three recent analytical approaches to investigate several classes of traveli...
In this paper we employ three recent analytical approaches to investigate several classes of traveli...
In this paper we employ three recent analytical approaches to investigate sev-eral classes of travel...
Two recent papers are considered in which solitary travelling-wave solutions to the transformed redu...
It is shown that the Vakhnenko equation (VE) and the Ostrovsky-Hunter equation (OHE) are particular ...
Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation are invest...
AbstractIn this paper, we predict a new traveling wave solution of Ostrovsky equation by using He’s ...
In this Letter, auxiliary equation method is proposed for constructing more general exact solutions ...
In a recent paper by Yaşar [E. Yaşar, New travelling wave solutions to the Ostrovsky equation, Appl....
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the undirectional propagation of weakly n...
Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here ...
A variety of methods for examining the properties and solutions of nonlinear evolution equations are...