Solitary wave solutions to some classes of nonlinear evolution type equations using inverse variational methods

DOI10.1016/j.na.2006.10.001zbMath1120.35030OpenAlexW2031812141MaRDI QIDQ2381496

Abdul Hamid Kara

Publication date: 18 September 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.10.001

zbMATH Keywords

nonlinear evolution equationsNoether symmetriesKdV-BurgersPainlevé propertiesdouble reductionsFizHugh-Nagumoinverse variational methods

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05)

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Cites Work

• Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
• New solitary wave solutions to the KdV-Burgers equation
• Nonlinear evolution-type equations and their exact solutions using inverse variational methods
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
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