On An Efficient Technique for Solving the Time-Fractional (2+1) - Dimensional Differential Equation

[1]

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

[2]

**Nawab Khan**, Department of Mathematics, Riphah International University, Islamabad, Pakistan.

[3]

**Muhammad Yaqub Khan**, Department of Mathematics, Riphah International University, Islamabad, Pakistan.

[4]

**Attia Rani**, Department of Mathematics, University of Wah, Wah Cantt, Pakistan.

[5]

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

[6]

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

[7]

**Madiha Afzal**, Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan.

Nonlinear mathematical problems and their solutions attain much attention in soliton theory. Under study article is devoted to find soliton wave solutions of nonlinear time fractional (2+1) - dimensional breaking soliton equation via a reliable mathematical technique. By use of proposed technique we attains soliton wave solution of various types. The nonlinear partial differential equation is transformed into an ordinary differential equation by using suitable wave transformation. The regulation of proposed algorithm is demonstrated by consequent numerical results and computational work. It is observed that under discussion technique is user friendly with minimum computational work, also we can extend it for physical problems of different nature.

Exp-function Method, Fractional Calculus, Modified Riemann-Liouville Derivative, Breaking Soliton Equation, Maple 18

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