Article detail · 2016 · article
New exact solutions for the Khokhlov Zabolotskaya Kuznetsov the Newell Whitehead Segel and the Rabinovich wave equations by using a new modification of the tanh coth method
Data source split
- YÖKSİSYÖKSİS article record
- YÖKSİS venueCogent Mathematics
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
- Semantic Scholarcitation count (not merged with OpenAlex)
Abstract
The family of the tangent hyperbolic function methods is one of the most powerful method to find the solutions of the nonlinear partial differential equations. In the mathematical literature, there are a great deal of tanh-methods completing each other. In this article, the unified tanh-function method as a unification of the family of tangent hyperbolic function methods is introduced and implemented to find traveling wave solutions for three important physical models, namely the Khoklov–Zabolotskaya–Kuznetsov (KZK) equation, the Newell–Whitehead–Segel (NWS) equation, and the Rabinovich wave equation with nonlinear damping. Various exact traveling wave solutions of these physical structures are formally derived.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
8citationsOpenAlex · cited_by_count (cache / database)
5 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2025 Exact solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov equation via the modified sub-equation methodCitations 7 · OpenAlex
- 2021 Solitary Wave Solutions of the (3+1)-dimensional Khokhlov\u2013Zabolotskaya\u2013Kuznetsov Equation by using the (G'/G,1/G)-Expansion MethodCitations 2 · OpenAlex
- 2021 Solitary Wave Solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya– Kuznetsov Equation by using the (G'/G,1/G)-Expansion MethodCitations 2 · OpenAlex
- 2021 MEFM For Exact Solutions Of The (3+1) Dimensional KZK Equation and (3+1) Dimensional JM EquationCitations 2 · OpenAlex
- 2021 Solitary Wave Solutions of the (3+1)-dimensional Khokhlov-Zabolotskaya-Kuznetsov Equation by using the (G'/G,1/G)-Expansion MethodCitations 2 · OpenAlex