Sub-ODE's New Solutions and Their Applications to Two Nonlinear Partial Differential Equations with Higher-Order Nonlinear Terms

DOI10.1088/0253-6102/52/5/02zbMath1191.34003OpenAlexW1973000545MaRDI QIDQ5852336

Jin Yu He, Li-Hua Zhang

Publication date: 27 January 2010

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/52/5/02

zbMATH Keywords

symbolic computationgeneralized Zakharov-Kuznetsov equationgeneralized KdV-mKdV equationhigher-order nonlinear termsthe sub-ODE methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (3)

A variety of new traveling and localized solitary wave solutions of a nonlinear model describing the nonlinear low-pass electrical transmission lines ⋮ New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations ⋮ Symbolic computation to construct new soliton solutions and dynamical behaviors of various wave structures for two different extended and generalized nonlinear Schrödinger equations using the new improved modified generalized sub-ODE proposed method

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