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On a KdV equation with higher-order nonlinearity: Traveling wave solutions

✍ Scribed by Cesar A. Gómez Sierra

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
178 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

Soliton solution a b s t r a c t

In this work, the improved tanh-coth method is used to obtain wave solutions to a Korteweg-de Vries (KdV) equation with higher-order nonlinearity, from which the standard KdV and the modified Korteweg-de Vries (mKdV) equations with variable coefficients can be derived as particular cases. However, the model studied here include other important equations with applications in several fields of physical and nonlinear sciences. Periodic and soliton solutions are formally derived.

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