New breather solitary solution and two-solitary solutions depending on constant equilibrium solution to the Korteweg de Vries equation are obtained by using an extended homoclinic test approach.A new mechanical featur...New breather solitary solution and two-solitary solutions depending on constant equilibrium solution to the Korteweg de Vries equation are obtained by using an extended homoclinic test approach.A new mechanical feature of a two-solitary wave,namely,dependence of propagation direction and shape on position of equilibrium point,is investigated.展开更多
A new type of homoclinic and heteroclinic solutions, i.e. homoclinic and heteroclinic breather solutions, for Zakharov system are obtained using extended homoclinic test and two-soliton methods, respectively. Moreover...A new type of homoclinic and heteroclinic solutions, i.e. homoclinic and heteroclinic breather solutions, for Zakharov system are obtained using extended homoclinic test and two-soliton methods, respectively. Moreover, the homoclinic and heteroclinic structure with local oscillation and mechanical feature different from homoclinic and heterocliunic solutions are investigated. Result shows complexity of dynamics for complex nonlinear evolution system. Moreover, the similarities and differences between homoclinic (heteroclinic) breather and homoclinic (heteroclinic) tube are exhibited. These results show that the diversity of the structures of homoclinic and heteroclinic solutions.展开更多
基金Supported by the National Natural Science Foundation of China(12261053)the Special Basic Cooperative Research Programs of Yunnan Provincial Undergraduate Universities Association(2019FH001-078,202101BA070001-132)Introduction of Talents Research Project of Kunming University(XJ20210020,YJL20019)。
基金Supported by the National Natural Science Foundation Grant under Grant Nos 11061028 and 11161055the Yunnan Natural Science Fund under Grant No 2010CD086。
文摘New breather solitary solution and two-solitary solutions depending on constant equilibrium solution to the Korteweg de Vries equation are obtained by using an extended homoclinic test approach.A new mechanical feature of a two-solitary wave,namely,dependence of propagation direction and shape on position of equilibrium point,is investigated.
基金Supported by the Natural Science Foundation of China under Grant No.11061028
文摘A new type of homoclinic and heteroclinic solutions, i.e. homoclinic and heteroclinic breather solutions, for Zakharov system are obtained using extended homoclinic test and two-soliton methods, respectively. Moreover, the homoclinic and heteroclinic structure with local oscillation and mechanical feature different from homoclinic and heterocliunic solutions are investigated. Result shows complexity of dynamics for complex nonlinear evolution system. Moreover, the similarities and differences between homoclinic (heteroclinic) breather and homoclinic (heteroclinic) tube are exhibited. These results show that the diversity of the structures of homoclinic and heteroclinic solutions.
