First integrals and solutions for a class of third-order nonlinear autonomous differential equations

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Traveling wave solutions (35C07)

Cites Work

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The first-integral method applied to the Eckhaus equation
Frequency domain approach to some third-order nonlinear differential equations
New general solutions to the Abel equation of the second kind using functional transformations
The inverse integrating factor for some classes of \(n\)-th order autonomous differential systems
Exact solutions of the nonlinear Schrödinger equation by the first integral method
One-parameter Lie groups and inverse integrating factors of \(n\)-th order autonomous systems
Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space
Techniques for searching first integrals by Lie group and application to gyroscope system
Traveling wave behavior for a generalized Fisher equation
Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
On global stability of third-order nonlinear differential equations
On the first integrals of \(n\)-th order autonomous systems
The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation
On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term
Invariant characterization of third-order ordinary differential equations \(u'= f(x, u, u', u)\) with five-dimensional point symmetry group
Some new oscillation results for fourth-order neutral differential equations with a canonical operator
Further results on global stability of third-order nonlinear differential equations
Hybrid methods for direct integration of special third order ordinary differential equations
On the oscillation of certain fourth-order differential equations with \(p\)-Laplacian like operator
The first-integral method to study the Burgers–Korteweg–de Vries equation
Oscillatory applications of some fourth‐order differential equations

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