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A Note on a Nonexistence Theorem for Nonlinear Wave Equations

โœ Scribed by Levine, Howard A.


Book ID
118198515
Publisher
Society for Industrial and Applied Mathematics
Year
1974
Tongue
English
Weight
389 KB
Volume
5
Category
Article
ISSN
0036-1410

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Solitons and the regularized long wave e
โœ A.C. Bryan; A.E.G. Stuart ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 360 KB

We prove that the regularized long wave equation (RLW) has no analytic two-soliton solutions. The proof is based on a superposition algorithm used for constructing multisuliton solutions of the Korteweg-de Vries equation (KdV) and is obtained by analytically continuing the algorithm from the KdV to