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Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain

Department of Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt
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Math. Comput. Appl. 2018, 23(1), 15; https://doi.org/10.3390/mca23010015
Received: 28 February 2018 / Revised: 15 March 2018 / Accepted: 16 March 2018 / Published: 16 March 2018
In this work, we prove that the integrating factors can be used as a reduction method. Analytical solutions of the Jaulent–Miodek (JM) equation are obtained using integrating factors as an extension of a recent work where, through hidden symmetries, the JM was reduced to ordinary differential equations (ODEs). Some of these ODEs had no quadrature. We here derive several new solutions for these non-solvable ODEs. View Full-Text
Keywords: hidden symmetry; integrating factors; Jaulent–Miodek equation; exact solution hidden symmetry; integrating factors; Jaulent–Miodek equation; exact solution
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Sadat, R.; Kassem, M. Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain. Math. Comput. Appl. 2018, 23, 15.

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