Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

By Y. Pandır, Yusuf Gurefe, Ugur Kadak, E. Mısırlı. 2012

81 citations recorded by the source corpus.

We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method. In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7e23cb00a582cb1310aeab4eb02ad02b4ff8ccb0

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In Modeling and Simulation

1. Hasan Bulut
2. Seyma Tuluce Demiray
3. Haci Mehmet Baskonus
4. Y. Pandır
5. Doddabhadrappla Gowda Prakasha
6. Pundikala Veeresha

In Statistical and Nonlinear Physics

1. Hasan Bulut
2. Seyma Tuluce Demiray
3. Haci Mehmet Baskonus
4. Y. Pandır

Citations in the corpus

• The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation (2013, methodology): “However, we established a new modified trial equation method to obtain 1-soliton, singular soliton, hyperbolic function solutions [18, 19], elliptic integral function and Jacobi elliptic function solutions, or the others to nonlinear partial differential equations with generalized evolution in [20–2”
• All exact travelling wave solutions of Hirota equation and Hirota–Maccari system (2016, methodology): “In this work, the extended trial equation method [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24] and generalized Kudryashov method [6, 7] will be applied to obtain exact solutions of Hirota equation and Hirota-Maccari system.”