Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods

By Mujahid Iqbal, Aly R. Seadawy, Dianchen Lu. Modern Physics Letters A, 2018

137 citations recorded by the source corpus.

In this research, we consider the propagation of one-dimensional nonlinear behavior in a unmagnetized plasma. By using the reductive perturbation technique to formulate the nonlinear mathematic model which is modified Kortewege-de Vries (mKdV), we apply the extended form of two methods, which are extended auxiliary equation mapping and extended direct algebraic methods, to investigate the new families of electron-acoustic solitary wave solutions of mKdV. These new exact traveling and solitary wave solutions which represent the electrostatic potential for mKdV and also the graphical representation of electrostatic potential are shown with the aid of Mathematica.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5fcb24e06312dc197bc92d9b6f81286d6630435c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Dianchen Lu
2. Mujahid Iqbal
3. Aly R. Seadawy

In Statistical and Nonlinear Physics

1. Mujahid Iqbal
2. Dianchen Lu
3. Aly R. Seadawy
4. Asif Yokus

Citations in the corpus

• Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity (2019, methodology): “Substituting Equation (30) in Equation (13), we obtain the solutions of Equation (10) as”