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A stable isolated (i.e., solitary) traveling wave solution to a set of equations.

See also Lax Pair, Sine-Gordon Equation



Bullough, R. K. and Caudrey, P. J. (Eds.). Solitons. Berlin: Springer-Verlag, 1980.

Dodd, R. K. Solitons and Nonlinear Equations. London: Academic Press, 1984.

Drazin, P. G. and Johnson, R. S. Solitons: An Introduction. Cambridge, England: Cambridge University Press, 1988.

Filippov, A. The Versatile Solitons. Boston, MA: Birkhäuser, 1996.

Gu, C. H. Soliton Theory and Its Applications. New York: Springer-Verlag, 1995.

Infeld, E. and Rowlands, G. Nonlinear Waves, Solitons, and Chaos. Cambridge, England: Cambridge University Press, 1990.

Lamb, G. L. Jr. Elements of Soliton Theory. New York: Wiley, 1980.

Makhankov, V. G.; Fedyann, V. K.; and Pashaev, O. K. (Eds.). Solitons and Applications. Singapore: World Scientific, 1990.

Newell, A. C. Solitons in Mathematics and Physics. Philadelphia, PA: SIAM, 1985.

Olver, P. J. and Sattinger, D. H. (Eds.). Solitons in Physics, Mathematics, and Nonlinear Optics. New York: Springer-Verlag, 1990.

Remoissent, M. Waves Called Solitons, 2nd ed. New York: Springer-Verlag, 1996.

© 1996-9 Eric W. Weisstein