Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
نویسندگان
چکیده
منابع مشابه
Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants
and Applied Analysis 3 V = ±√−α − 5B 2 β + 20CAβ, δ = 4β (−8CAB 2 + B 4 + 16A 2 C 2 ) , (8b) where A, B, and C are arbitrary constants, but C cannot be zero. Case 3. One has a −1 = 0, a 2 = 0, a 1 = 0, a −2 = 2A 2 √ 30β γ , a 0 = 2AC√ 30β γ , B = 0, V = ±√−α − 60CAβ, δ = −16βA 2 C 2 . (8c) Case 4. One has a −1 = 0, a 2 = 0, a 1 = 0, a −2 = 2A 2 √ 30β γ , a 0 = − −15 ± √165 15 CA√ 30β γ , B = 0,...
متن کاملExact Solutions of the Generalized Kuramoto-Sivashinsky Equation
In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.
متن کاملExact Solutions to a Generalized BBM Equation with Variable Coefficients
An auxiliary equation technique is applied to investigate a generalized Benjamin-Bona-Mahony equation with variable coefficients. Many exact traveling wave solutions are obtained which include algebraic solutions, solitons, solitary wave solutions and trigonometric solutions. Mathematics Subject Classification: 35Q53, 35B35
متن کاملexact solutions of the generalized kuramoto-sivashinsky equation
in this paper we obtain exact solutions of the generalized kuramoto-sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. the methods used to determine the exact solutions of the underlying equation are the lie group analysis and the simplest equation method. the solutions obtained are then plotted.
متن کاملThe Exact Rational Solutions to a Shallow Water Wave-Like Equation by Generalized Bilinear Method
A Shallow Water Wave-like nonlinear differential equation is considered by using the generalized bilinear equation with the generalized bilinear derivatives 3,x D and 3,t D , which possesses the same bilinear form as the standard shallow water wave bilinear equation. By symbolic computation, four presented classes of rational solutions contain all rational solutions to the resulting Shallow Wat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/284865