MULTIPLE SOLUTIONS OF THE FOURTH‐ORDER EMDEN‐FOWLER EQUATION

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...

Multiple Layered Solutions of the Nonlocal Bistable Equation

The nonlocal bistable equation is a model proposed recently to study materials whose constitutive relations among the variables that describe their states are nonlocal. It resembles the local bistable equation (the Allen-Cahn equation) in some way, but contains a much richer set of solutions. In this paper we consider two types of solutions. The first are the periodic solutions on a finite inte...

Multiple solutions of the quasi relativistic Choquard equation

Articles you may be interested in Multi-peak solution for nonlinear magnetic Choquard type equation Smooth soliton solutions of a new integrable equation by Qiao Optimal solution for the viscous nonlinear dispersive wave equation We prove existence of multiple solutions to the quasirelativistic Choquard equation with a scalar potential. C 2012 American Institute of Physics.

Analytical solutions for the fractional Fisher's equation

In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables  method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...