This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mapping method is then used to retrieve more solutions to the equation. Finally, the equation is studied with the aid of the variational iteration method. The numerical simulations are also given to complete the analysis.
The singular manifold method is used to obtain two
general solutions to a (2+1)-dimensional breaking soliton
equation, each of which contains two arbitrary functions. Then the
new periodic wave solutions in terms of the Jacobi elliptic
functions are generated from the general solutions. The long wave
limit yields the new types of dromion and solitary structures.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.