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广义BBM方程的紧与非紧结构 被引量：1

Compact and Noncompact Structures for a Generalized BBM Equation
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摘要 使用微分方程降阶法去研究一类广义BBM方程,得到了方程包括紧孤子、孤立子、孤立波、周期解、代数行波解在内的精确解,同时指出了导致解物理结构变化的主要参数. An analytic mathematical approach based on the reduction of order for solving differential equations is developed to investigate a generalized BBM equation. Exact solutions of the equation, including compactons, solitons, solitary patterns, periodic solutions and algebraic traveling wave solutions are obtained under several circumstances. The conditions that cause the qualitative change in the physical structures of the solutions are highlighted.
作者 尹正 秦亚
机构地区 西南财经大学经济数学学院 内江师范学院数学与信息科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第2期170-173,共4页 Journal of Sichuan Normal University（Natural Science）
基金 教育部重点科研基金(109140)资助项目 西南财经大学科研基金(YB0818)
关键词 非线性方程 紧孤子 孤立子 周期解 nonlinear equations compactons solitons periodic solutins
分类号 O175.29 [理学—基础数学]
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共引文献15

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四川师范大学学报（自然科学版）
2011年 第2期

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