CAJ | 학술논문

利用新的辅助微分方程,描述了一个构造数学物理中非线性发展偏微分方程精确解的直接代数方法.借助这种方法,考察了某些具有重要应用背景的非线性发展偏微分方程, 并且获得了丰富的新的精确行波解.所得结果推广了先前文献的结果.
이용신적보조미분방정,묘술료일개구조수학물리중비선성발전편미분방정정학해적직접대수방법.차조저충방법,고찰료모사구유중요응용배경적비선성발전편미분방정, 병차획득료봉부적신적정학행파해.소득결과추엄료선전문헌적결과.
By using new solutions of auxiliary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution partial differential equations in mathematical physics. By this method,some well-known nonlinear evolution partial differential equations with important applied backgrounds are investigated and abundant new exact travelling wave solutions are obtained. The previous results in literature are extended.