International Journal of Functional Analysis, Operator Theory and Applications
Volume 3, Issue 1, Pages 71 - 76
(June 2011)
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SKILL APPLICATION OF THE THEORY: NEW SOLITARY WAVE SOLUTIONS AND PERIODIC SOLUTIONS OF THE MODIFIED KdV EQUATION
Ying Huang, Yao Ma and Baorong Li
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Abstract:
The Darboux transformation for the modified Korteweg-de Vries (MKdV) equation is employed to generate new solitary wave solutions and triangle function periodic solutions from a nonzero constant solution, these distinct solutions are first obtained by choosing two different types of eigenvalues for the first-order ordinary differential system which stems from the Lax pair in the theorem. |
| Keywords and phrases: exact solution, Darboux transformation, modified Korteweg-de Vries equation. |
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