Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (4): 525-536.
Previous Articles Next Articles
Received:
Online:
Published:
About author:
Supported by:
Abstract: A class of new doubly periodic wave solutions for(2+1)-dimensional KdV equation are obtained by introducing appropriate Jacobi elliptic functions and Weierstrass elliptic functions in the general solution(contains two arbitrary functions) got by means of multilinear variable separation approach for(2+1)-dimensional KdV equation. Limiting cases are considered and some localized excitations are derived, such as dromion, multidromions, dromion-antidromion, multidromions-antidromions,and so on. Some solutions of the dromion-antidromion and multidromions-antidromions are periodic in one direction but localized in the other direction. The interaction properties of these solutions, which are numerically studied, reveal that some of them are nonelastic and some are completely elastic. Furthermore, these results are visualized.
Key words: (2+1)-dimensional KdV equation, multilinear variable separation approach, elliptic functions, periodic wave solutions, localized excitations, interaction property, nonelastic, completely elastic
CLC Number:
O175.29
GE Dong-jie, MA Hong-cai, YU Yao-dong. New Periodic Wave Solutions and Their Interaction for (2+1)-dimensional KdV Equation[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 525-536.
/ Recommend
Add to citation manager EndNote|Ris|BibTeX
URL: https://sxjk.magtechjournal.com/EN/
https://sxjk.magtechjournal.com/EN/Y2009/V24/I4/525