where p≥ 2, φp(x) = |x|p–2x for x = 0 and φp(0) = 0; g :R4 →R is a continuous periodic function with g(t + T , ·, ·, ·)≡ g(t, ·, ·, ·), and g(t,a,a, 0) – e(t) ≡ 0 for all a ∈R. e :R→R is a continuous periodic function with e(t + T )≡ e(t) and ∫ T 0 e(t)dt = 0, c is a constant and |c| = 1, δ ∈ C1(R,R) and δ is a T -periodic function, T is a positive constant; n is a positive integer. By applicat...

This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular dark periodic solutions, Weierstrass elliptic type and exponential function solutions. Moreover, some the obtained represented graphically.

Recently the first author presented exact formulas for the number of 2-periodic binary sequences with given 1-error linear complexity, and an exact formula for the expected 1-error linear complexity and upper and lower bounds for the expected k-error linear complexity, k ≥ 2, of a random 2-periodic binary sequence. A crucial role for the analysis played the Chan-Games algorithm. We use a more s...

The bi-periodic Fibonacci sequence also known as the generalized Fibonacci sequence was fırst introduced into literature in 2009 by Edson and Yayenie [9] after which the bi-periodic Lucas sequence was defined in a similar fashion in 2004 by Bilgici [5]. In this study, we introduce a new generalization of the Jacobsthal numbers which we shall call bi-periodic Jacobsthal sequences similar to the ...