Cut salmon into 1-inch pieces making sure to remove any bones.
In a blender, add salmon and blend until finely chopped (do not over process). Transfer salmon into a medium bowl.
Stir in mustard, mayonnaise, chives, soy sauce, sesame oil, salt, and pepper.
Form four 3 1/2-inch patties from mix. Sprinkle one side of each patty with sesame seeds.
Brush peanut oil over bottom of a large nonstick pan.
Put pan over medium-high heat.
Place burgers, seed side down into pan.
Cook until sesame seeds brown, or for 2 to 3 minutes.
With a spatula, turn burgers over and cook until opaque in the center, or about 3 minutes.
Transfer salmon burgers to buns, and top with greens.