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Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation 被引量:1

Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation
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摘要 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. 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.
出处 《Advances in Pure Mathematics》 2015年第3期121-126,共6页 理论数学进展(英文)
关键词 Kadomtsev-Petviashvili Equation Method of Variable Separation Global Smooth SOLUTION Local BLOW up SOLUTION Kadomtsev-Petviashvili Equation Method of Variable Separation Global Smooth Solution Local Blow up Solution
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