LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Nair, C. Radhakrishnan (2004)
Languages: English
Types: Preprint
Subjects: Nonlinear Sciences - Chaotic Dynamics
Often a non-linear mechanical problem is formulated as a non-linear differential equation. A new method is introduced to find out new solutions of non-linear differential equations if one of the solutions of a given non-linear differential equation is known. Using the known solution of the non-linear differential equation, linear differential equations are set up. The solutions of these linear differential equations are found using standard techniques. Then the solutions of the linear differential equations are put into non-linear differential equations and checked whether these solutions are also solutions of the original non-linear differential equation. It is found that many solutions of the linear differential equations are also solutions of the original non-linear differential equation.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [2] John DW and Smith P (1986) Nonlinear Ordinary Differential Equations, 2nd edn, (Oxford: Clarendon Press).
    • [3] Dodd RK, Eilbeck JC, Gibben JD (1984) Solitons and Nonlinear Wave Equation, (New York: Academic).
    • [4] Batchelor GK (1993) An Introduction to Fluid dynamics. 1st Indian edn, (New Delhi) PP 147.
    • [5] Rajaram R (1982) Solitons and Instantons 1st edn, (New Delhi).
    • [6] Michael Tabor (1989) Chaos and Integrability in Nonlinear Dynamics-An Introduction, (New York: John Wiley and Sons).
    • [7] Ronald Adler, Maurice Bazin, Menahem Schiffer (1975) Introduction to General Relativity, 2nd edn, (Kogakuzha, Tokyo: McGraw-Hill).
    • [8] Drazin PG and Johnson RS (1990) Solitons: An Introduction. (Cambridge: Cambridge University Press).
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Collected from