Journal of the Egyptian Mathematical Society
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Solitary wave solutions Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZK–BBM) equation
In this paper, exp-function method is used to construct generalized solitary solutions of the Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation. It is shown that the exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool to solv...
A note on the qualitative behaviors of non-linear Volterra integro-differential equation
We establish sufficient conditions which guarantee that the solutions of the equation are stable, globally asymptotically stable, uniformly continuous on [0,∞), and belongs to L1[0,∞) and L2[0,∞) and have bounded derivatives. We use the Lyapunov’s direct method to prove the main results. Examples ar...
Existence of uniformly stable solutions of nonautonomous discontinuous dynamical systems
Some quantum optical states as realizations of Lie groups
Kudryashov method to the 3D- Gross– Pitaevskii equation with periodic potential
We study the 3D- Gross–Pitaevskii equation, which is called the non-linear Schrodinger equation under the conditions of Kudryashov method for finding new exact solitary wave solutions of this equation. This equation describes Bose–Einstein condensates in the low temperature regime. New exact solitar...
Riemannian geometry of Lie algebroids
New perspectives in algebraic logic, from neat embeddings to Erdos graphs
A note on discontinuous problem with a free boundary
Picard, Adomian and predictor–corrector methods for an initial value problem of arbitrary (fractional) orders differential equation
We study the two analytical methods, the classical method of successive approximations (Picard method), Adomian decomposition method (ADM) see (Abbaoui and Cherruault, 1994; Adomian et al., 1992; Adomian, 1995) [1–3] and the (numerical method) predictor corrector method (PECE) for an initial value p...
Some results on Dunkl analysis : A survey