The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstr...

* Correspondence: jinyinlai@lyu. edu.cn School of Science, Linyi University, Linyi 276005, Shandong, P.R. China Full list of author information is available at the end of the article Abstract In this article, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of seventh-degree systems are investigated. With the help of computer algebra system MATHEMATIC...

We consider the fifth order mock theta functions χ0 and χ1, defined by Ramanujan, and find identities for these functions, which relate them to indefinite theta functions. Similar identities have been found by Andrews for the other fifth order mock theta functions and the seventh order functions.

This paper aims to shed light on the mobility of people and relics in seventh century. It will show that Emperor Heraclius strategically designed his movements those household, citizens, officials, as well within beyond borders Byzantium, order consolidate empire position it. These also allowed associate himself effectively with Old Testament, antique, Byzantine exemplary models leadership. Ove...

BACKGROUND The TNM staging criteria for gastric carcinoma have seen numerous revisions, the most recent of which are reflected in the seventh edition AJCC TNM cancer staging manual. METHODS A retrospective evaluation of the sixth and seventh TNM classification of gastric cancer on a prospective database, regarding patients operated on for primary gastric cancer, was conducted. The end point o...

This paper extends the concept of the PLR-group from the neo-Riemannian theory, which acts on the set of major and minor triads, to a PS-group, which acts on the set of major and minor seventh chords. Like the PLR-group, the PS-group is isomorphic to D12, the dihedral group of order 24, and only compositions of two operations are needed to generate all group elements. Unlike the actions from PL...