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Prog. Theor. Phys. Vol. 64 No. 6 (1980) pp. 1959-1967

Cusp Soliton of a New Integrable Nonlinear Evolution Equation

Miki Wadati, Yoshi H. Ichikawa^* and Toru Shimizu^**

Institute of Physics, University of Tokyo, Komaba, Tokyo 153
^*Institute of Plasma Physics, Nagoya University, Nagoya 464
^**Institute of Physics, University of Tsukuba, Ibaraki 305

(Received August 4, 1980)

Abstract:

Inverse scattering method for the already found integrable nonlinear evolution equation q_t-2(1/ √1+q)_xxx=0 is presented. A new integrable nonlinear evolution equation r_t+(1-r)³r_xxx=0, which can be transformed into the above-mentioned equation, is shown to have a singular spiky soliton solution (cusp soliton).

URL : http://ptp.ipap.jp/link?PTP/64/1959/
DOI : 10.1143/PTP.64.1959

[ Full Text PDF : FREE ACCESS (391K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. M. Wadati, K. Konno and Y. H. Ichikawa, J. Phys. Soc. Jpn. 47 (1979), 1698[JPSJ].
2. T. Shimizu and M. Wadati, Prog. Theor. Phys. 63 (1980), 808[PTP].
3. T. Shimizu, Y. H. Ichikawa and M. Wadati, preprint.
4. Y. H. Ichikawa, K. Konno and M. Wadati, preprint.
5. Y. H. Ichikawa, K. Konno, M. Wadati and H. Sanuki, J. Phys. Soc. Jpn. 48 (1980), 279[JPSJ].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 48-64 :

   The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem

   M. Boiti, F. Pempinelli and G. Z. Tu

2. Progress of Theoretical Physics Vol. 108 No. 3 (2002) pp. 603-607 :

   On the Identification of Integrable Equations Using Dirichlet Series

   Andrew Pickering

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