New travelling wave solutions for the Fisher–KPP equation with general exponents
نویسندگان
چکیده
منابع مشابه
New Travelling-Wave Solutions for Dodd-Bullough Equation
initiated by Dodd and Bullough [1] and Žiber and Šabat [2], plays a significant role in many scientific applications such as solid state physics, nonlinear optics, and quantum field theory. There are many research works for Dodd-Bullough equation in the last decades. It is shown thatDodd-Bulloughdetermines the intrinsic geometry of the two-dimensional affine sphere in the three-dimensional unim...
متن کاملExact travelling wave solutions for the modified Novikov equation ∗
which was discovered in a symmetry classification of nonlocal PDEs with quadratic or cubic nonlinearity. By using the perturbation symmetry approach [7], Novikov found the first few symmetries and a scalar Lax pair for Eq. (1), then proved that it is integrable [9]. Hone and Wang [5] gave a matrix Lax pair for the Novikov equation and found its infinitely many conserved quantities, as well as a...
متن کاملNew exact travelling wave solutions for the K(2, 2) equation with osmosis dispersion
In this paper, by using bifurcation method, we successfully find the K(2, 2) equation with osmosis dispersion ut+(u )x− (u)xxx = 0 possess two new types of travelling wave solutions called kink-like wave solutions and antikink-like wave solutions. They are defined on some semifinal bounded domains and possess properties of kink waves and anti-kink waves. Their implicit expressions are obtained....
متن کاملExact Travelling Wave Solutions for a Modified Zakharov–Kuznetsov Equation
The modied Zakharov–Kuznetsov (mZK) equation, ut + uux + uxxx + uxyy = 0, (1) represents an anisotropic two-dimensional generalization of the Korteweg–de Vries equation and can be derived in a magnetized plasma for small amplitude Alfvén waves at a critical angle to the undisturbed magnetic field, and has been studied by many authors because of its importance [1–5]. However, Eq. (1) possesses m...
متن کاملTravelling wave solutions of the generalized Benjamin-Bona-Mahony equation
A class of particular travelling wave solutions of the generalized Benjamin-BonaMahony equation are studied systematically using the factorization technique. Then, the general travelling wave solutions of Benjamin-Bona-Mahony equation, and of its modified version, are also recovered. Pacs:05.45.Yv, 52.35.Mw, 52.35.Sb, 02.30.Jr
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: Applied Mathematics Letters
سال: 2005
ISSN: 0893-9659
DOI: 10.1016/j.aml.2005.02.016