Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions
From MaRDI portal
Publication:1998401
DOI10.1016/j.matcom.2020.11.011OpenAlexW3107016780MaRDI QIDQ1998401
R. Vijay Anand, M. Dinakaran, Wei Gao, Balamurugan Balusamy, Haci Mehmet Baskonus, Rathinavel Silambarasan
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.11.011
cylindrical rod and Jacobi elliptic functionlongitudinal strain wavesmaterial and structural constants
Related Items
Controllable rogue waves in a compressible hyperelastic plate, Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrodinger equation by beta-fractional derivative, Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii's breaking soliton model, Exact solutions and symmetry analysis of a Boussinesq type equation for longitudinal waves through a magneto-electro-elastic circular rod
Cites Work
- Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
- Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation
- A new Jacobi elliptic function expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines
- A new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equation
- The modified simple equation method and the multiple exp-function method for solving nonlinear fractional Sharma-Tasso-Olver equation
- Observations on the basic \((G'/G)\)-expansion method for finding solutions to nonlinear evolution equations
- Using \(\left( \frac{G^{\prime}}{G} \right)\)-expansion method to seek the traveling wave solution of Kolmogorov-Petrovskii-Piskunov equation
- Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations
- Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications
- Application of the extended \(\frac{G'}{G}\)-expansion method to solve the Pochhammer-Chree equations
- Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
- The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type
- Extended Jacobi elliptic function expansion method and its applications
- Modified method of simplest equation and its application to nonlinear PDEs
- New application of the \((\frac{G'}{G})\)-expansion method to higher-order nonlinear equations
- Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
- An equivalent form for the \(\exp(-\phi(\xi))\)-expansion method
- Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions
- Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods
- Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
- New exact solutions of space and time fractional modified Kawahara equation
- Quasi-monochromatic dynamics of optical solitons having quadratic-cubic nonlinearity
- Stationary optical solitons with nonlinear chromatic dispersion having quadratic-cubic law of refractive index
- The Jacobi elliptic function method and its application for two component BKP hierarchy equations
- Some new Jacobi elliptic function solutions for the short-pulse equation via a direct symbolic computation method
- An indirect variable transformation approach and Jacobi elliptic solutions to Korteweg de Vries equation
- Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space
- Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis
