We prove that a large class of leading order string solutions which generalize both the plane-wave and fundamental string backgrounds are, in fact, exact solutions to all orders in α′. These include, in particular, the traveling waves along the fundamental string. The key features of these solutions are a null symmetry and a chiral coupling of the string to the background. Using dimensional red...

In this paper, within the scope of local fractional derivative theory, bidirectional propagation system equations are researched. Compared with unidirectional nonlinear waves in a pipeline, studied paper can better describe channel. This study is groundbreaking and offers more possibilities for simulation pipeline. The exact traveling wave solutions non-differentiable type defined on Cantor set...

We construct new analytical solutions of the 3 1 -dimensional modified KdV-ZakharovKuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary para...

in this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $b(n,1)$ and $b(-n,1)$ of burgers equation.this method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $b(n,1)$ and $b(-n,1)$ of burgers equation and c...