The new exact solutions of the new coupled Konno-Oono equation by using extended simplest equation method

Abstract

The extended simplest equation method is employed to solve new coupled Konno-Oono equation. By means of this scheme, we found new exact solution. The method is straight for ward, concise and effective, it can also be applied to other nonlinear solution in mathematical physics.

Solitary Wave Solutions of the Coupled Konno-Oono Equation by using the Functional Variable Method and the Two Variables (G'/G,1/G) -Expansion Method

“…is a positive integer that can be concluded through balancing the highest nonlinear terms in Eqn. (17) and the highest order derivative. Substitute Eqn.…”

“…Bashar found traveling wave solutions by using tanh-function method and extended tanh-function method [16]. Torvattanabun presented the new exact solutions by extended simplest equation method [17]. Inan obtained multiple soliton solutions by improved tanh function method [18].…”

Dynamical Behaviour of Conformable Time-Fractional Coupled Konno-Oono Equation in Magnetic Field

“…In [23], the tanh-function method and extended tanh-function method have been applied to construct soliton solutions for system (3). Additional methods have been forced such as a new generalized (G′/G)−expansion method [24], the modified exp(−Ω(ξ))− expansion function method [25], the sine-Gordon expansion method [26], the external trial equation method [27], the generalized exp-function method [28], a modified extended exp-function method [29], the extended simplest equation method [30], the extended Jacobian elliptic function expansion method [31], the functional variable and the two variables (G ′ /G, 1/G)− expansion methods [32], and a new extended direct algebraic method [33]. Recently, some techniques have been imposed such as a generalized (G ′ /G)− expansion method for stochastic Konno-Oono equation that is forced by multiplicative noise term [34] and a unified solver with the aid of probability function distributions [35], for more details about wave solutions for stochastic PDE (see, e.g., [36][37][38]).…”

Some invariant solutions of coupled Konno-Oono equations arising in electromagnetic and quantum fields

“…Extended tanh [12], Modified simple equation [13], Extended simplest equation method [14], Lie similarity reduction [9],…”