Exp–function Method for Solving Quasi-Linear Klein-Gordon Equation

[1]

**Ahmad Bilal Hamid**, Department of Mathematics, University of Wah, Wah Cantt, Pakistan.

[2]

**Qazi Mahmood Ul-Hassan**, Department of Mathematics, University of Wah, Wah Cantt, Pakistan.

[3]

**Muhammad Ashraf**, Department of Mathematics, University of Wah, Wah Cantt, Pakistan.

[4]

**Bilal Ahmed**, Department of Mathematics, University of Wah, Wah Cantt, Pakistan.

[5]

**Kamran Ayub**, Department of Mathematics, Riphah International University, Islamabad, Pakistan.

[6]

**Memoona Yaqub**, Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan.

Nonlinear mathematical problems and their solutions attain great importance in solitary wave theory. In this article, the generalized solitary wave solutions of the Quasi-linear Klein-Gordon equation have been found using exp–function method. In association with the symbolic computation, exp–function technique proves to be a simple and high-ranking mathematical tool for solving non-linear forcing term evolution equations in mathematical physics. The results reveals that the approach is quite easy to implement and proves to be very effective for such type of equations. The method introduces a promising tool for solving many linear and nonlinear differential equations.

Exp–function Method, Solitary Solution, Periodic Solution, Klein-Gordon Equation

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