## Abstract This paper presents two different methods for the construction of exact solutions to the combined KdV and mKdV equation. The first method is a direct one based on a general form of solution to both the KdV and the modified KdV (mKdV) equations. The second method is a leading order analy
Exact Solution to the Antisymmetric, Constant Force Oscillator Equation
β Scribed by T. Lipscomb; R.E. Mickens
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 72 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
Explicit formulas are given for the characters of symmetric and antisymmetric powers of an arbitrary representation up to the sixth, and a general method for obtaining the higher ones is described. The results allow, among others, the determination of nonvanishing higher force constants in symmetric
The complex Stuart}Landau equation models a prototypical Hopf bifurcation in which, when the control parameter exceeds a critical value, the null solution bifurcates into a "nite amplitude time-periodic solution. We study the response of this equation to time-harmonic forcing in the subcritical regi