Paper Info
Title
A note on "New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation"
Abstract
Exact solutions of the Nizhnik-Novikov-Veselov equation by Li [New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation, Appl. Math. Comput. 215 (2009) 3777-3781] are analyzed. We have observed that fourteen solutions by Li from 30 do not satisfy the equation. The other 16 exact solutions by Li can be found from the general solutions of the well-known solution of the equation for the Weierstrass elliptic function.
Year
DOI
Venue
2010
10.1016/j.amc.2010.03.068
Applied Mathematics and Computation
Keywords
Field
DocType
seven common errors,nonlinear evolution equations,simplest equation method,tanh-method,exact solutions,sine-gordon equation,1 dimensional,sine gordon equation,elliptic function,exact solution,satisfiability
Exact solutions in general relativity,Elliptic function,Mathematical optimization,Mathematical analysis,sine-Gordon equation,Numerical analysis,Periodic graph (geometry),Elliptic curve,Evolution equation,Mathematics,One-dimensional space
Journal
Volume
Issue
ISSN
216
8
Applied Mathematics and Computation
Citations 
PageRank 
References 
4
0.76
5
Authors
3
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72
Pavel N. Ryabov2326.19
Dmitry I. Sinelshchikov3378.79