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On a certain class of a nonlinear evolution partial differential equations

✍ Scribed by S. Mesloub; H.A. Abdusalam

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
159 KB
Volume
217
Category
Article
ISSN
0377-0427

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✦ Synopsis

An existence result and a priori bound for the solution of a second-order nonlinear parabolic equation are established. Also a generalized tanh-function method is used for constructing exact travelling wave solutions for the nonlinear diffusion equation of Fisher type originated from the considered partial differential equation. And new multiple soliton solutions are obtained.

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By means of a new technique based on a class of functions Ξ  (t, s, r ), new oscillation criteria are established for certain neutral partial functional differential equations. The main results are of a high degree of generality and sharper than many previous results.