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2017•Results in PhysicsOpen access

Exact solutions of (3 + 1)-dimensional generalized KP equation arising in physics

Syed Tauseef Mohyud‐Din, Amna Irshad, Naveed Ahmed, Umar Nawaz Khan

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Abstract

In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tan ϕ ( ξ ) 2 -expansion method has been introduced to construct the exact solutions of nonlinear evolution equations. The obtained solutions include hyperbolic function solutions, trigonometric function solutions, exponential solutions, and rational solutions. Our study has added some new varieties of solutions to already available solutions. It is also worth mentioning that the computational work has been reduced significantly.

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What this paper is about

In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tan ϕ ( ξ ) 2 -expansion method has been introduced to construct the exact solutions of nonlinear evolution equations. The obtained solutions include hyperbolic function solutions, trigonometric function solutions, exponential solutions, and rational solutions. Our study has added some new varieties of solutions to already available solutions. It is also worth mentioning that the computational work has been reduced significantly.

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Available abstract

In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tan ϕ ( ξ ) 2 -expansion method has been introduced to construct the exact solutions of nonlinear evolution equations. The obtained solutions include hyperbolic function solutions, trigonometric function solutions, exponential solutions, and rational solutions. Our study has added some new varieties of solutions to already available solutions. It is also worth mentioning that the computational work has been reduced significantly.

Key concepts: Exponential function, Trigonometric functions, Hyperbolic function, Work (physics), Exact solutions in general relativity, Rational function, Mathematics, Trigonometry

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