【摘要】 用微分方程定性理论结合数值模拟方法研究了一类非线性4阶Boussinesq方程的扭结波．在r>0的条件下,给出了扭结波的存在条件,用数学软件Maple对行波方程进行数值模拟,得到了扭结波的平面模拟图．求出了扭结波的解,并通过数值模拟验证了其理论分析结果的正确性．更多还原

【Abstract】 The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation. Under the condition r > 0, the parameter conditions that the kink waves appear are found, the planar graphs of the traveling wave equation are simulated by use mathematical software Maple, and their solutions are obtained. The numerical simulation and qualitative results are identical.更多还原