Common Errors in Constructing Exact Solutions

See also Russian page

• N. A. Kudryashov, Seven common errors in finding exact solutions of nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 9-10, pp. 3507-3529, 2009. (html; pdf, 269 K)
• N. A. Kudryashov, On "new travelling wave solutions" of the KdV and the KdV-Burgers equations, Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 5, pp. 1891-1900, 2009. (pdf, 163 K)
• N. A. Kudryashov and N. B. Loguinova, Be careful with the Exp-function method, Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 5, pp. 1881-1890, 2009. (pdf, 165 K)
• N. A. Kudryashov, Comment on: "A novel approach for solving the Fisher equation using Exp-function method" [Phys. Lett. A, 372 (2008), 3836-3840], Physics Letters A, Vol. 373, No. 12-13, pp. 1196-1197, 2009. (pdf, 114 K)
• N. A. Kudryashov and M. B. Soukharev, Popular ansatz methods and solitary waves solutions of the Kuramoto-Sivashinsky equation, Regular and Chaotic Dynamics, Vol. 14, No. 3, pp. 407-419, 2009. (pdf, 150 K)
• N. A. Kudryashov, A note on new exact solutions for the Kawahara equation using Exp-function method, Journal of Computational and Applied Mathematics, Vol. 234, No. 12, pp. 3511-3512, 2010. (pdf, 60 K)
• N. A. Kudryashov, Unnecessary exact solutions of nonlinear ordinary differential equations, arXiv:1011.1623v1 [nlin,SI] 7 Nov 2010. (pdf, 138 K)
• N. A. Kudryashov, P. N. Ryabov, D. I. Sinelshchikov A note on "New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation", Applied Mathematics and Computation, Vol. 216, No. 8, pp. 2479-2481, 2010. (pdf, 99 K).
• N. A. Kudryashov, M. B. Soukharev Comment on: "Multi soliton solution, rational solution of the Boussinesq-Burgers equations", Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 7, pp. 1765-1767, 2010. (pdf, 84 K).
• N. A. Kudryashov Meromorphic solutions of nonlinear ordinary differential equations, Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 10, pp. 2778-2790, 2010. (pdf, 158 K).
• N. A. Kudryashov A Note on New exact solutions for the Kawahara equation using Exp-function method, Journal of Computational and Applied Mathematics, Vol. 234, No. 12, pp. 3511-3512, 2010. (pdf, 80 K).
• N. A. Kudryashov A note on the G'/G - expansion method, Applied Mathematics and Computation, Vol. 217, No. 4, pp. 1755-1758, 2010. (pdf, 111 K).
• N. A. Kudryashov A new note on exact complex travelling wave solutions for (2+1) - dimensional B-type Kadomtsev-Petviashvili equation, Applied Mathematics and Computation, Vol. 217, No. 5, pp. 2282-2284, 2010. (pdf, 87 K).
• N. A. Kudryashov, D. I. Sinelshchikov A note on "Abundant new exact solutions for the (3+1)-dimensional Jimbo-Miwa equation", Journal of Mathematical Analysis and Applications, Vol. 371, No. 1, pp. 393-396, 2010. (pdf, 102 K).
• N. A. Kudryashov, D. I. Sinelshchikov A Note on the Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation, Acta Applicandae Mathematicae, Vol. 113, No. 1, pp. 41-44, 2011. (pdf, 88 K).
• N. A. Kudryashov, P. N. Ryabov, D. I. Sinelshchikov Comment on: "Application of the (G'/G) method for the complex KdV equation" [Huiqun Zhang, Commun Nonlinear Sci Numer Simulat 15, 2010, 1700-1704], Communications in Nonlinear Science and Numerical Simulations, Vol. 16, No. 1, pp. 596-598, 2011. (pdf, 100 K)
• N. A. Kudryashov A Note on solutions of the Korteweg-de Vries hierarchy, Communications in Nonlinear Science and Numerical Simulations, Vol. 16, No. 4, pp. 1703-1705, 2011. (pdf, 89 K)
• N. A. Kudryashov On Completely Integrability Systems of Differential Equations, Communications in Nonlinear Science and Numerical Simulations, Vol. 16, No. 6, pp. 2414-2420, 2011. (pdf, 131 K)
• N. A. Kudryashov Redundant exact solutions of nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulations, 2011. (pdf, 139 K)