伯格斯方程
非线性系统
数学
独立方程
耗散系统
数学分析
联立方程组
欧拉方程
Korteweg–de Vries方程
双曲型偏微分方程
波包
偏微分方程
微分方程
物理
量子力学
标识
DOI:10.1016/j.jmaa.2010.12.032
摘要
First of all, by using Bernoulli equations, we develop some technical lemmas. Then, we establish the explicit traveling wave solutions of five kinds of nonlinear evolution equations: nonlinear convection diffusion equations (including Burgers equations), nonlinear dispersive wave equations (including Korteweg–de Vries equations), nonlinear dissipative dispersive wave equations (including Ginzburg–Landau equation, Korteweg–de Vries–Burgers equation and Benjamin–Bona–Mahony–Burgers equation), nonlinear hyperbolic equations (including Sine–Gordon equation) and nonlinear reaction diffusion equations (including Belousov–Zhabotinskii system of reaction diffusion equations).
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