학술저널
THE FORMAL LINEARIZATION METHOD TO MULTISOLITON SOLUTIONS FOR THREE MODEL EQUATIONS OF SHALLOW WATER WAVES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 3
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2012.08381 - 391 (11 pages)
- 2
In this paper, the formal linearization method is used to construct multisoliton solutions for three model of shallow water waves equations. The three models are completely integrable. The formal linearization method is an e±cient method for obtaining ex-act multisoliton solutions of nonlinear partial di？？erential equations. The method can be applied to nonintegrable equations as well as to integrable ones.
1. Introduction
2. Formal linearization method
3. The ¯rst model equation for shallow water waves
4. The second model equation for shallow water waves
5. The third model equation for shallow water waves
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