A new general algebraic method is presented to uniformly construct a series of exact solutions for nonlinear evolution equations （NLEEs）. For illustration, we apply the new method to shallow long wave approximate eq...A new general algebraic method is presented to uniformly construct a series of exact solutions for nonlinear evolution equations （NLEEs）. For illustration, we apply the new method to shallow long wave approximate equations and successfully obtain abundant new exact solutions, which include rational solitary wave solutions and rational triangular periodic wave solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.展开更多
雉鸡阿拉善亚种的分类地位存在争议。采用聚合酶链式反应(PCR)和直接测序方法讨论雉鸡阿拉善亚种是否确立。共测定了雉鸡12个种群132个样本的线粒体DNA(mtDNA)控制区(control-region)1078个碱基长度的基因序列,61个变异位点产生68个单...雉鸡阿拉善亚种的分类地位存在争议。采用聚合酶链式反应(PCR)和直接测序方法讨论雉鸡阿拉善亚种是否确立。共测定了雉鸡12个种群132个样本的线粒体DNA(mtDNA)控制区(control-region)1078个碱基长度的基因序列,61个变异位点产生68个单倍型。系统发育树和单倍型网络图结果显示,雉鸡阿拉善亚种是单系枝。雉鸡阿拉善亚种与甘肃亚种的分歧时间(0.15～0.23百万年)发生在晚更新世,中国西部干旱化、腾格里沙漠的形成以及贺兰山的存在导致分歧形成。结合系统发生树、单倍型网络图、Fst值(P<0.001)以及基因流(M_sohokhotensis to strauchi=0.006,M_strauchi to sohokhotensis=0.014),雉鸡阿拉善亚种在其分布区内独立进化。展开更多
文摘A new general algebraic method is presented to uniformly construct a series of exact solutions for nonlinear evolution equations （NLEEs）. For illustration, we apply the new method to shallow long wave approximate equations and successfully obtain abundant new exact solutions, which include rational solitary wave solutions and rational triangular periodic wave solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.
基金supported by Hainan Province Natural Science Foundation (311055)Dr Start-up Fund Research of Qiongzhou University (QYX B201009)the Co-operation Fund between University and Locality,Sanya (2010YD22) for funding this research,Hainan Province Zoological Provincial Major Course
文摘雉鸡阿拉善亚种的分类地位存在争议。采用聚合酶链式反应(PCR)和直接测序方法讨论雉鸡阿拉善亚种是否确立。共测定了雉鸡12个种群132个样本的线粒体DNA(mtDNA)控制区(control-region)1078个碱基长度的基因序列,61个变异位点产生68个单倍型。系统发育树和单倍型网络图结果显示,雉鸡阿拉善亚种是单系枝。雉鸡阿拉善亚种与甘肃亚种的分歧时间(0.15～0.23百万年)发生在晚更新世,中国西部干旱化、腾格里沙漠的形成以及贺兰山的存在导致分歧形成。结合系统发生树、单倍型网络图、Fst值(P<0.001)以及基因流(M_sohokhotensis to strauchi=0.006,M_strauchi to sohokhotensis=0.014),雉鸡阿拉善亚种在其分布区内独立进化。
