Symbolic computation of some new nonlinear partial differential equations of nanobiosciences using modified extended tanh-function method
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Publication:426380
DOI10.1016/j.amc.2011.08.096zbMath1238.92001OpenAlexW2062534110MaRDI QIDQ426380
Dalibor L. Sekulić, Miljko V. Satarić, Miloš B. Živanov
Publication date: 11 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.096
Symbolic computation and algebraic computation (68W30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05)
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Uses Software
Cites Work
- Unnamed Item
- RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
- Soliton solutions of a few nonlinear wave equations
- Soliton solutions of Burgers equations and perturbed Burgers equation
- Painlevé expansions for nonintegrable evolution equations
- Two new applications of the homogeneous balance method
- Exploratory approach to explicit solution of nonlinear evolution equations
- Modified extended tanh-function method and its applications to nonlinear equations
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- Construction of new soliton-like solutions of the (2 + 1) dimensional dispersive long wave equation
- Exact solutions for a compound KdV-Burgers equation
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Extended tanh-function method and its applications to nonlinear equations
- Modified extended tanh-function method for solving nonlinear partial differential equations
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