Abstract
This paper presents two different methods forthe construction of new exact solitary wave solutions tothe combined KdV and mKdV equation. There exist 12 typesof soliton solutions which reduce to those of the mKdV equation. There exist three typesof solurion solutions which reduce to those of the KdVequation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Coffey. (1990).
Dey. (1986).
Konno, K., and Ichikawa, Y. H. (1974). Journal of the Physical Society of Japan, 37, 1631.
Lou, S. Y., and Chen, L. L. (1994). Mathematical Methods in the Applied Sciences, 17, 339.
Mohamad, M. N. B. (1992). Mathematical Methods in the Applied Sciences, 15, 73.
Miura, R. M. (1968). Journal of Mathematical Physics, 9, 1202.
Narayanamurti, V., and Varma, C. M. (1970). Physical Review Letters, 25, 1105.
Tappert, F. D., and Varma, W. (1970). Physical Review Letters, 25, 1108.
Wadati, M. (1975a). Journal of the Physical Society of Japan, 38, 673.
Wadati, M. (1975b). Journal of the Physical Society of Japan, 38, 681.
Rights and permissions
About this article
Cite this article
Zhang, J. New Solitary Wave Solution of the Combined KdV and mKdV Equation. International Journal of Theoretical Physics 37, 1541–1546 (1998). https://doi.org/10.1023/A:1026615919186
Issue Date:
DOI: https://doi.org/10.1023/A:1026615919186