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Exact Solutions > Interesting Papers > N.A. Kudryashov. Seven common errors in finding exact solutions of nonlinear differential equations > References

Seven common errors in finding exact solutions of nonlinear differential equations
© N.A. Kudryashov

Communications in Nonlinear Science and Numerical Simulation (to be pubslished in 2009)


  1. Abstract
  2. Introduction
  3. First error: some authors use equivalent methods to find exact solutions
  4. Second error: some authors do not use the known general solutions of ordinary differential equations
  5. Third error: some authors omit arbitrary constants after integration of equation
  6. Fourth error: using some functions in finding exact solutions some authors lose arbitrary constants
  7. Fifth error: some authors do not simplify the solutions of differential equations
  8. Sixth error: some authors do not check solutions of differential equations
  9. Seventh error: some authors include additional arbitrary constants into solutions
  10. Conclusion
  11. References


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