Similarity reductions and exact solutions of generalized Bretherton equation with time-dependent coefficients
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Publication:354911
DOI10.1007/s11071-012-0637-2zbMath1268.35007OpenAlexW2066496028MaRDI QIDQ354911
Publication date: 22 July 2013
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-012-0637-2
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- The dynamics of a high-dimensional delayed pest management model with impulsive pesticide input and~harvesting prey at different fixed moments
- Lie symmetries and exact solutions of a new generalized Hirota-Satsuma coupled KdV system with variable coefficients
- Symmetry analysis and some exact solutions of cylindrically symmetric null fields in general relativity
- New periodic wave solutions for the shallow water equations and the generalized Klein-Gordon equation
- Topological and non-topological solitons of the generalized Klein-Gordon equations
- Jacobian elliptic function method for nonlinear differential-difference equations
- Solitons in plasmas: A Lie symmetry approach
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
- The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
- Exact solutions to sine-Gordon-type equations
- Exact travelling wave solutions of the generalized Bretherton equation
- Exact solutions to the KdV--Burgers' equation
- Similarity methods for differential equations
- Decay estimates for fourth order wave equations
- Stability and instability of fourth-order solitary waves
- Time decay for the nonlinear beam equation
- A sine-cosine method for handling nonlinear wave equations
- Applications of the Jacobi elliptic function method to special-type nonlinear equations
- The tanh method for traveling wave solutions of nonlinear equations
- The improved F-expansion method and its applications
- Exact solutions for a compound KdV-Burgers equation
- Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- A note on the homogeneous balance method
- The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
- New exact travelling wave solutions using modified extended tanh-function method
- Construction of solitary solution and compacton-like solution by variational iteration method
- Solitary wave solutions of nonlinear wave equations
- New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS