Infinitely many traveling wave solutions of a gradient system
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- by David Terman PDF
- Trans. Amer. Math. Soc. 301 (1987), 537-556 Request permission
Abstract:
We consider a system of equations of the form ${u_t} = {u_{xx}} + \nabla F(u)$. A traveling wave solution of this system is one of the form $u(x, t) = U(z), z = x + \theta t$. Sufficient conditions on $F(u)$ are given to guarantee the existence of infinitely many traveling wave solutions.References
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- David Terman, Directed graphs and traveling waves, Trans. Amer. Math. Soc. 289 (1985), no. 2, 809–847. MR 784015, DOI 10.1090/S0002-9947-1985-0784015-6 —, Infinitely many radial solutions of an elliptic system (submitted).
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 301 (1987), 537-556
- MSC: Primary 35K55; Secondary 35B99
- DOI: https://doi.org/10.1090/S0002-9947-1987-0882703-6
- MathSciNet review: 882703