Abstract
We analyze the traveling wave solutions of Ablowitz-Kaup-Newell-Segur (AKNS) and Schwarz-Korteweg-de Vries (SKdV) equations. As the solution method for differential equations we consider the improved tanh approach. This approach provides to transform the partial differential equation into the ordinary differential equation and then obtain the new families of exact solutions based on the solutions of the Riccati equation. The different values of the coefficients of the Riccati equation allow us to obtain new type of traveling wave solutions to AKNS and SKdV equations.
| Original language | English |
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| Pages (from-to) | 577-583 |
| Number of pages | 7 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 42 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 15 Oct 2009 |