Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation

DOI: 10.4236/apm.2015.53014   PDF   HTML   XML   3,041 Downloads   3,630 Views   Citations

Abstract

In the paper, we will discuss the Kadomtsev-Petviashvili Equation which is used to model shallow-water waves with weakly non-linear restoring forces and is also used to model waves in ferromagnetic media by employing the method of variable separation. Abundant exact solutions including global smooth solutions and local blow up solutions are obtained. These solutions would contribute to studying the behavior and blow up properties of the solution of the Kadomtsev-Petviashvili Equation.

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Song, L. and Shang, Y. (2015) Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation. Advances in Pure Mathematics, 5, 121-126. doi: 10.4236/apm.2015.53014.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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