Homoclinic solutions for fourth order traveling wave equations

Sanjiban Santra, Juncheng Wei

We consider homoclinic solutions of fourth order equations $$u^{""}+{\beta }^2{u}^{"}+V_u(u)=0in\mathbb{R},$$ where $V(u)$ is either the suspension bridge type $V(u)=e^u-1-u$ or Swift-H…