An effective method for finding special solutions of nonlinear differential equations with variable coefficients

作者：Qin Maochang^*; Fan Guihong

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2008, 372(18): 3240-3242.

DOI：10.1016/j.physleta.2008.01.058

• special solutions
• nonlinear differential equations
• variable coefficients

There are many interesting methods can be utilized to construct special solutions of nonlinear differential equations with constant coefficients. However, most of these methods are not applicable to nonlinear differential equations with variable coefficients. A new method is presented in this Letter, which can be used to find special solutions of nonlinear differential equations with variable coefficients. This method is based on seeking appropriate Bernoulli equation corresponding to the equation studied. Many well-known equations are chosen to illustrate the application of this method.

• 出版日期2008-4-28
• 单位重庆工商大学