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2014•Physica ScriptaRequires access

A generalization of the simplest equation method and its application to (3+1)-dimensional KP equation and generalized Fisher equation

Zhonglong Zhao, Yufeng Zhang, Zhong Han, Wenjuan Rui

Open publisher page 8 citations

Abstract

In this paper, the simplest equation method is used to construct exact traveling solutions of the -dimensional KP equation and generalized Fisher equation. We summarize the main steps of the simplest equation method. The Bernoulli and Riccati equation are used as simplest equations. This method is straightforward and concise, and it can be applied to other nonlinear partial differential equations.

About this research paper

What this paper is about

In this paper, the simplest equation method is used to construct exact traveling solutions of the -dimensional KP equation and generalized Fisher equation. We summarize the main steps of the simplest equation method. The Bernoulli and Riccati equation are used as simplest equations. This method is straightforward and concise, and it can be applied to other nonlinear partial differential equations.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, the simplest equation method is used to construct exact traveling solutions of the -dimensional KP equation and generalized Fisher equation. We summarize the main steps of the simplest equation method. The Bernoulli and Riccati equation are used as simplest equations. This method is straightforward and concise, and it can be applied to other nonlinear partial differential equations.

Key concepts: Riccati equation, Fisher's equation, First-order partial differential equation, Partial differential equation, Fisher equation, Integro-differential equation, Exact differential equation, Kadomtsev–Petviashvili equation

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