Kinky breathers, multi-peak and multi-wave soliton solutions for the nonlinear propagation of Kundu–Eckhaus dynamical model
K. El-Rashidy, Aly R. Seadawy
Abstract
The multi-wave solutions for nonlinear Kundu–Eckhaus (KE) equation are obtained using logarithmic transformation and symbolic computation using the function method. Three-wave method, double exponential and homoclinic breather approach are used to get these solutions. We study the conflict between our results and considerably-known results and state that the solutions reached here are new. By specifying the suitable values for the parameter, the drawings of the solutions obtained are shown in this paper.
Topics & Concepts
BreatherHomoclinic orbitTransformation (genetics)Exponential functionNonlinear systemComputationLogarithmSolitonSymbolic computationMathematical analysisPhysicsPeriodic waveApplied mathematicsMathematicsQuantum mechanicsAlgorithmGeneChemistryBifurcationBiochemistryNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models