Title : Symmetry Reduction and Analytical Solutions of Potential Kdv Equation

Author(s) : Muhammet YÜRÜSOY

 DOI: 10.23958/ijsei/vol03-03/01


Abstract :

In this paper, classical and nonclassical symmetries of the potential KdV equation are considered. A catalogue of symmetry reductions for potential KdV equation is obtained using the classical Lie method and nonclassical method due to Bluman and Cole.[1] The Lie algebra consists of five finite parameter Lie group transformations; two being the scaling symmetry and the others being translations. By using the nonclassical method, four finite parameter group transformations are obtained. Two different types of solutions, approximate and exact solutions, are found by using the symmetries. Using the classical symmetries, only approximate series solutions are constructed, but using the nonclassical symmetries, both the exact solution and the approximate solution were found. The advantage of nonclassical symmetries is that the exact solution of the KdV equation can be found with it. Perturbation method is also used for approximate solutions.

Keywords: Potential KdV equation, Lie groups, nonclassical symmetries, perturbation solution.

Latest News & Update

Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's


Call For Paper

ISIJ, IJSSEI-IJSEI,Volume 03,Issue 03 (November, 2017)
Publication is Process...

Read More


We will provide hard copy of Journal paper & Hard Copy of Certificates of
Publication to each Author.


ISIJ Invites Paper From Various Management,Economics,
Social Science, Science and Engineering

Submit Now


Higher Citation Journal

You Enjoy Higher Citation
Open Access
Very low fees
Rapid Decision
Rapid Experts And Thorough Peer Review
Open Review


Last Submission Date - 24 September 2017
Publication - With in 2 working day's



Who's Online

We have 16 guests and no members online

JSN Decor template designed by JoomlaShine.com