(G′/G, 1/G)-Expansion method for generalized ZK, Sharma–Tasso–Olver (STO) and modified ZK equations

Optimal constant weight codes over Zk and generalized designs

We consider optimal constant weight codes over arbitrary alphabets. Some of these codes are derived from good codes over the same alphabet, and some of these codes are derived from block design. Generalizations of Steiner systems play an important role in this context. We give several construction methods for these generalizations. An interesting class of codes are those which form generalized ...

An Extended Elliptic Equation Expansion Method and Its Application in The ZK-MEW Equation

In this paper, an extended elliptic equation expansion method is presented for constructing exact traveling wave solutions of nonlinear partial differential equation. The main idea of this method is to take full advantage of the solutions of the elliptic equation to construct exact traveling wave solutions of nonlinear partial differential equations. The ZK-MEW equation is chosen to illustrate ...

Zk 2-MANIFOLDS ARE ISOSPECTRAL ON FORMS.

Lecture 16: Defining ZK Proofs of Knowledge

Stability and Decay Properties of Solitary Wave Solutions for the Generalized Bo-zk Equation

In this paper we study the generalized BO-ZK equation in two dimensions. We classify the existence and non-existence of solitary waves depending on the sign of the dispersions and on the nonlinearity. By using the approach introduced by Cazenave and Lions we study the nonlinear stability of solitary waves. We also prove some decay and regularity properties of such waves.